Math question: What is the sum of all the positive factors of the number 1680?

To find the sum of all the positive factors of 1680, we need to determine its prime factorization. Prime factorization of 1680: 2^4 × 3 × 5 × 7 Using the formula for the sum of divisors, we calculate the sum: To find the sum of divisors, we multiply (2^0 + 2^1 + 2^2 + 2^3 + 2^4) × (3^0 + 3^1) × (5^0 + 5^1) × (7^0 + 7^1): = (1 + 2 + 4 + 8 + 16) × (1 + 3) × (1 + 5) × (1 + 7) = 31 × 4 × 6 × 8 = 5952 Hence, the sum of all the positive factors of 1680 is 5952.

Math question: What is the largest prime factor of 1680?

To find the largest prime factor of 1680, we need to factorize it. Firstly, we divide it by its smallest prime factor, 2. The quotient is 840. Continuing this process, we divide by 2 again, yielding 420. Next, we divide by 2 once more, resulting in 210. Dividing by 3 gives 70, and dividing by 5 produces 14. Finally, we divide by 2 to get 7, which is a prime number. Therefore, the largest prime factor of 1680 is 7.

Math question: How many different prime factors does the number 1680 have?

To find the prime factors of 1680, we can start by dividing it by the smallest prime number, 2. Dividing 1680 by 2 gives us 840. Since 840 is even, we can divide it by 2 again, obtaining 420. Continuing this process, we divide 420 by 2, giving 210. Dividing 210 by 3 provides 70, and dividing 70 by 2 results in 35. Finally, dividing 35 by 5 yields 7. At this point, we can stop dividing since 7 is a prime number. Therefore, the prime factors are 2, 2, 2, 3, 5, and 7. Thus, the number 1680 has a total of 6 different prime factors.

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

1680 (number)

1680 is an even 4-digits composite number following 1679 and preceding 1681. In scientific notation, it is written as 1.680 × 10^3. The sum of its digits is 15. It has a total of 7 prime factors and 40 positive divisors. There are 384 positive integers (up to 1680) that are relatively prime to 1680.

Interesting facts

1680 has 40 divisors, whose sum is 5952
The reverse of 1680 is 0861
Previous prime number is 5

Basic properties

Is Prime? no
Number parity even
Number length 4
Sum of Digits 15
Digital Root 6

Name

Name	one thousand six hundred eighty

Notation

Scientific notation	1.680 × 10^3
Engineering notation	1.680 × 10^3

Prime Factorization of 1680

Prime Factorization 2 × 2 × 2 × 2 × 3 × 5 × 7

Composite number

ω	Distinct Factors	4	Total number of distinct prime factors
Ω	Total Factors	7	Total number of prime factors
rad	Radical	210	Product of the distinct prime numbers

The prime factorization of 1680 is 2 × 2 × 2 × 2 × 3 × 5 × 7. Since it has a total of 7 prime factors.

Most popular turbo-numbers

9, 8, 26, 80, 327, 450, 1185, 9968, 21727, 81336, 516861, 797885, 1344024, 5703526, 29800983, 82324907, 914470028, 153945135, 4964484395, 7479046904

Basic calculations (n = 1680)

Multiplication

n×y

n×2	3360
n×3	5040
n×4	6720
n×5	8400

Division

n÷y

n÷2	840
n÷3	560
n÷3	420
n÷5	336

Exponentiation

n^y

n²	2822400
n³	4741632000
n⁴	7965941760000
n⁵	13382782156800000

Nth Root

^y√n

²√n	40.987803063838
³√n	11.887843905526
⁴√n	6.4021717458874
⁵√n	4.4163334448969

Divisors of 1680

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 28, 30, 35, 40, 42, 48, 56, 60, 70, 80, 84, 105, 112, 120, 140, 168, 210, 240, 280, 336, 420, 560, 840, 1680

40 divisors

τ	Total Divisors	40	Total number of the positive divisors of n
σ	Sum of Divisors	1	Sum of all the positive divisors of n
s	Aliquot Sum	-1679	Sum of the proper positive divisors of n
A	Arithmetic Mean	0.025	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	40	Returns the total number of divisors (τ(n)) divided by the sum of the reciprocal of each divisors

The number 1680 can be divided by 40 positive divisors. The sum of these divisors (counting 1680) is 1, the average is 0.025.

Base conversion 1680

Base	System	Value
2	Binary	11010010000
3	Ternary	2022020
4	Quaternary	122100
5	Quinary	23210
6	Senary	11440
8	Octal	3220
10	Decimal	1680
12	Duodecimal	b80
16	Hexadecimal	690
20	Vigesimal	440
36	Base36	1ao

Cryptographic Hash Functions

md5	11d0e6287202fced83f79975ec59a3a6
sha1	2664c206999e7419517ee39e177797576a52201b
sha256	0ebe0fb634f8e4aca93dcdea090d01120e73df4c7da22888c595b593da608c78
sha512	ab463be832cc3cb186d91c559b66b8ddc11bd9316571f7dc1a0fae2bc4a51928ff3eef5e855785f4e2f08ea526e71017e8bc81cee5d3abdfc7ebb80ca4d74db3
ripemd-160	747f7d6383ac22276d66680d797afc2e33accd79

1680 as geometric shapes

Circle

Radius = n

Diameter	3360
Circumference	10555.751316062
Area	8866831.1054918

Sphere

Radius = n

Volume	19861701676.302
Surface area	35467324.421967
Circumference	10555.751316062

Square

Length = n

Perimeter	6720
Area	2822400
Diagonal	2375.8787847868

Cube

Length = n

Surface area	16934400
Volume	4741632000
Space diagonal	2909.8453567157

Equilateral Triangle

Length = n

Perimeter	5040
Area	1222135.0498206
Altitude	1454.9226783579

Triangular Pyramid

Length = n

Surface area	1222135.0498206
Volume	558806690.18186
Height	791.95959492893