Math question: What is the sum of the first 100 positive even numbers, subtracted by the product of the first 20 prime numbers, divided by the square root of 6420?

To find the sum of the first 100 positive even numbers, we use the formula for the sum of an arithmetic series: S = (n/2)(a + l), where S is the sum, n is the number of terms, a is the first term, and l is the last term. For this series, a = 2, l = 2n = 200 (since we want the sum of the first 100 positive even numbers). Hence, S = (100/2)(2 + 200) = 10100. To calculate the product of the first 20 prime numbers, we multiply them together: 2 × 3 × 5 × ... × 71 × 73 ≈ 614,889,782,588,491. Now we divide this product by the square root of 6420: 614,889,782,588,491 ÷ √6420 ≈ 6.455543 × 10^15. So, the final answer is approximately 10100 - 6.455543 × 10^15.

Question: What is the sum of the digits of the product of 6420 multiplied by its reverse?

To find the product of 6420 and its reverse, we multiply 6420 by 0246, which equals 1570520. The sum of its digits (1+5+7+0+5+2+0) is 20.

Question: If 6420 is divided by the sum of its digits multiplied by 6, and then squared, what is the result?

Firstly, let's find the sum of the digits: 6 + 4 + 2 + 0 = 12. Now, we multiply the sum by 6: 12 * 6 = 72. Next, we divide 6420 by 72: 6420 / 72 = 89.17 (rounded to two decimal places). Finally, we square the result: 89.17 * 89.17 = 7958.9129. Hence, the result is approximately 7958.9129.

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

6420 (number)

6420 is an even 4-digits composite number following 6419 and preceding 6421. In scientific notation, it is written as 6.420 × 10^3. The sum of its digits is 12. It has a total of 4 prime factors and 12 positive divisors. There are 1696 positive integers (up to 6420) that are relatively prime to 6420.

Interesting facts

6420 has 12 divisors, whose sum is 12096
The reverse of 6420 is 0246
Previous prime number is 15

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 12
Digital Root 3

Name

Name	six thousand four hundred twenty

Notation

Scientific notation	6.420 × 10^3
Engineering notation	6.420 × 10^3

Prime Factorization of 6420

Prime Factorization 2 × 2 × 15 × 107

Composite number

ω	Distinct Factors	3	Total number of distinct prime factors
Ω	Total Factors	4	Total number of prime factors
rad	Radical	3210	Product of the distinct prime numbers

The prime factorization of 6420 is 2 × 2 × 15 × 107. Since it has a total of 4 prime factors.

Most popular turbo-numbers

7, 9, 25, 98, 728, 973, 2912, 4697, 74815, 7702, 746999, 107999, 2318901, 3961472, 50863250, 88236478, 16401035, 387115284, 6776130870, 2808528827

Basic calculations (n = 6420)

Multiplication

n×y

n×2	12840
n×3	19260
n×4	25680
n×5	32100

Division

n÷y

n÷2	3210
n÷3	2140
n÷3	1605
n÷5	1284

Exponentiation

n^y

n²	41216400
n³	264609288000
n⁴	1698791628960000
n⁵	1.0906242257923E+19

Nth Root

^y√n

²√n	80.124902496041
³√n	18.585675177042
⁴√n	8.9512514485987
⁵√n	5.7744018733913

Divisors of 6420

1, 2, 4, 15, 30, 60, 107, 214, 428, 1605, 3210, 6420

12 divisors

τ	Total Divisors	12	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-6419	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.083333333333333	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	12	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 6420 can be divided by 12 positive divisors. The sum of these divisors (counting 6420) is 1, the average is 0.083333333333333.

Base conversion 6420

Base	System	Value
2	Binary	1100100010100
3	Ternary	22210210
4	Quaternary	1210110
5	Quinary	201140
6	Senary	45420
8	Octal	14424
10	Decimal	6420
12	Duodecimal	3870
16	Hexadecimal	1914
20	Vigesimal	g10
36	Base36	4yc

Cryptographic Hash Functions

md5	49562478de4c54fafd4ec46fdb297de5
sha1	b35a3676b67d38861634cf94dcd5745128f88d0e
sha256	77b593919479710873bb2b45a1fe6c2d6c86ae9e11158402783e39e4d2cb43de
sha512	f4c8b581b232f6ce7ffe1ab5ccae9176d317f070b737da1b1e498ab572203b22cae2c60cbfd3402bedd107bf40b6fb7b08c845dd4339a3e36e2d0ed38477e453
ripemd-160	e3acac5f12125637759a7be117387cd80afbc390

6420 as geometric shapes

Circle

Radius = n

Diameter	12840
Circumference	40338.049672093
Area	129485139.44742

Sphere

Radius = n

Volume	1108392793669.9
Surface area	517940557.78967
Circumference	40338.049672093

Square

Length = n

Perimeter	25680
Area	41216400
Diagonal	9079.2510704353

Cube

Length = n

Surface area	247298400
Volume	264609288000
Space diagonal	11119.766184592

Equilateral Triangle

Length = n

Perimeter	19260
Area	17847224.72627
Altitude	5559.8830922961

Triangular Pyramid

Length = n

Surface area	17847224.72627
Volume	31184503651.624
Height	3026.4170234784