Math question: Find the sum of all the even numbers between 1 and 6670 (inclusive).

To find the sum of even numbers between 1 and 6670, we first observe that 6670 is divisible by 2. Using the formula for the sum of an arithmetic series, Sn = (n/2)(a + l), where Sn is the sum, n is the number of terms, a is the first term, and l is the last term, we can calculate the sum. The first even number is 2, and the last even number less than or equal to 6670 is 6668. We have n = (6668-2)/2 + 1 = 3334. Plugging values into our formula, Sn = (3334/2)(2 + 6668) = 3334 * 6670 = 22,226,780, which is the sum of all the even numbers between 1 and 6670.

Math question: What is the average of all positive integers less than or equal to 6670 which are divisible by either 3, 5, or 7? To find the answer, we can apply the inclusion-exclusion principle. We calculate the number of positive integers divisible by 3, 5, and 7 separately. For 3, the largest multiple of 3 less than or equal to 6670 is 6669 (which is 3 * 2223). The number of positive integers divisible by 3 is (6669 / 3) + 1 = 2224. For 5, the largest multiple of 5 less than or equal to 6670 is 6670 (which is 5 * 1334). The number of positive integers divisible by 5 is (6670 / 5) = 1334. For 7, the largest multiple of 7 less than or equal to 6670 is 6665 (which is 7 * 952). The number of positive integers divisible by 7 is (6665 / 7) = 952. Now let's calculate the number of positive integers divisible by both 3 and 5. The largest multiple of their least common multiple, which is 15, less than or equal to 6670 is 6660 (which is 15 * 444). The number of positive integers divisible by both 3 and 5 is (6660 / 15) = 444. Similarly, the number of positive integers divisible by both 3 and 7 is (6105 / 21) = 291, and the number of positive integers divisible by both 5 and 7 is (6670 / 35) = 190. Finally, let's calculate the number of positive integers divisible by 3, 5, and 7 together using the inclusion-exclusion principle. The largest multiple of their least common multiple, which is 105, less than or equal to 6670 is 6630 (which is 105 * 63). The number of positive integers divisible by 3, 5, and 7 is (6630 / 105) = 63. Thus, the total number of positive integers divisible by either 3, 5, or 7 is given by: (2224 + 1334 + 952) - (444 + 291 + 190) + 63 = 3648.

There are 3648 positive integers less than or equal to 6670 which are divisible by either 3, 5, or 7.

Math Question: What is the result of multiplying 6670 by 8, dividing it by 5, subtracting 125, and then finding the square root?

The calculation can be done step by step. First, 6670 multiplied by 8 equals 53,360. Then, dividing 53,360 by 5 gives 10,672. Subtracting 125 from 10,672 results in 10,547. Finally, the square root of 10,547 is approximately 102.7. Therefore, the answer is approximately 102.7.

Max	9223372036854775807
25835	Positive integer
0b10001100	Binary number
01771452	Octal number
0x129abf	Hex number
5.012 * 10^7	Scientific notation
2^4 * 5	Factorized form
*	Random number

6670 (number)

6670 is an even 4-digits composite number following 6669 and preceding 6671. In scientific notation, it is written as 6.670 × 10^3. The sum of its digits is 19. It has a total of 4 prime factors and 16 positive divisors. There are 2464 positive integers (up to 6670) that are relatively prime to 6670.

Interesting facts

6670 has 16 divisors, whose sum is 12960
The reverse of 6670 is 0766
Previous prime number is 23

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 19
Digital Root 1

Name

Name	six thousand six hundred seventy

Notation

Scientific notation	6.670 × 10^3
Engineering notation	6.670 × 10^3

Prime Factorization of 6670

Prime Factorization 2 × 5 × 23 × 29

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	6670	Product of the distinct prime numbers

The prime factorization of 6670 is 2 × 5 × 23 × 29. Since it has a total of 4 prime factors.

Most popular turbo-numbers

9, 10, 86, 19, 722, 328, 3135, 9812, 74125, 47605, 29808, 969213, 5038026, 1685092, 14050631, 26287722, 272749511, 737167612, 9216252744, 7424897704

Basic calculations (n = 6670)

Multiplication

n×y

n×2	13340
n×3	20010
n×4	26680
n×5	33350

Division

n÷y

n÷2	3335
n÷3	2223.3333333333
n÷3	1667.5
n÷5	1334

Exponentiation

n^y

n²	44488900
n³	296740963000
n⁴	1979262223210000
n⁵	1.3201679028811E+19

Nth Root

^y√n

²√n	81.670067956382
³√n	18.823856841731
⁴√n	9.037149326883
⁵√n	5.8186892859588

Divisors of 6670

1, 2, 5, 10, 23, 29, 46, 58, 115, 145, 230, 290, 667, 1334, 3335, 6670

16 divisors

τ	Total Divisors	16	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6669	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.0625	Returns the sum of divisors (σ(n)) divided by the total number of divisors (τ(n))
G	Geometric Mean	1	Returns the nth root of the product of n divisors
H	Harmonic Mean	16	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6670 can be divided by 16 positive divisors. The sum of these divisors (counting 6670) is 1, the average is 0.0625.

Base conversion 6670

Base	System	Value
2	Binary	1101000001110
3	Ternary	100011001
4	Quaternary	1220032
5	Quinary	203140
6	Senary	50514
8	Octal	15016
10	Decimal	6670
12	Duodecimal	3a3a
16	Hexadecimal	1a0e
20	Vigesimal	gda
36	Base36	55a

Cryptographic Hash Functions

md5	e7ac288b0f2d41445904d071ba37aaff
sha1	25cc07e9be5ebfd75cda8f6b53a9772e45ee4467
sha256	142472979dc6cfe2d4c0b44f3c1f6474f9657e6e2c8cc598f70bbcdb4815fec7
sha512	d712532ffcd75ee14ee561494ee06654520ffe05532e740aef28cf990152b075be02a0cbe402870021d4afbf0400bc3adec4c02556a2994fa056834b3e5b7d92
ripemd-160	9da8296c6142e41db5ba19a3d2387b94ad5a49c3

6670 as geometric shapes

Circle

Radius = n

Diameter	13340
Circumference	41908.845998888
Area	139766001.40629

Sphere

Radius = n

Volume	1242985639173.3
Surface area	559064005.62516
Circumference	41908.845998888

Square

Length = n

Perimeter	26680
Area	44488900
Diagonal	9432.8044610285

Cube

Length = n

Surface area	266933400
Volume	296740963000
Space diagonal	11552.778886484

Equilateral Triangle

Length = n

Perimeter	20010
Area	19264258.793213
Altitude	5776.3894432422

Triangular Pyramid

Length = n

Surface area	19264258.793213
Volume	34971257865.521
Height	3144.2681536762