The number 59160

Q: Is 59160 a prime number?

No. 59160 = 2^3 × 3 × 5 × 17 × 29, so it is divisible by 2.

59160 is a composite number with 64 divisors. Its prime factorisation is $2^{3}$ × 3 × 5 × 17 × 29. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 29, 30, 34 … 59160.

Number

Pick any whole number from 1 to 100,000.

59160 = 2^{3} \times 3 \times 5 \times 17 \times 29

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How to work it out

1
59160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
2
59160 is composite. Its prime factorisation is
$59160 = 2^{3} \times 3 \times 5 \times 17 \times 29$
3
The divisors add up to 194400; without 59160 itself that is 135240, so 59160 is abundant (135240 is more than 59160). Euler's totient φ(59160) = 14336 numbers up to 59160 share no factor with it.
4
The digits of 59160 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 42 steps to reach 1.

LaTeX source of the formulas on this page

\[ 59160 = 2^{3} \times 3 \times 5 \times 17 \times 29 \]

59160 at a glance

Property	Value
Type	composite
Number of divisors	64
Sum of divisors	194400
Euler totient φ(n)	14336
Square	3499905600
Cube	207054415296000
Square root	243.228288 (= 2√14790)
Digit sum / digital root	21 / 3
Collatz steps to 1	42
Scientific notation	5.916 × $10^{4}$

59160 in other forms

Form	Value
In words	fifty-nine thousand one hundred and sixty
Binary (base 2)	1110011100011000
Octal (base 8)	163430
Hexadecimal (base 16)	E718
Base 3	10000011010
As time	59160 seconds = 16 h 26 min 0 s

Is 59160 divisible by 2 to 12?

Divisor	Answer	Rule
2	Yes (59160 ÷ 2 = 29580)	A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3	Yes (59160 ÷ 3 = 19720)	A number is divisible by 3 if the digits add up to a multiple of 3.
4	Yes (59160 ÷ 4 = 14790)	A number is divisible by 4 if the last two digits make a multiple of 4.
5	Yes (59160 ÷ 5 = 11832)	A number is divisible by 5 if the last digit is 0 or 5.
6	Yes (59160 ÷ 6 = 9860)	A number is divisible by 6 if it is divisible by both 2 and 3.
7	No (remainder 3)	A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8	Yes (59160 ÷ 8 = 7395)	A number is divisible by 8 if the last three digits make a multiple of 8.
9	No (remainder 3)	A number is divisible by 9 if the digits add up to a multiple of 9.
10	Yes (59160 ÷ 10 = 5916)	A number is divisible by 10 if the last digit is 0.
11	No (remainder 2)	A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12	Yes (59160 ÷ 12 = 4930)	A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 59160 a prime number?

No. 59160 = $2^{3}$ × 3 × 5 × 17 × 29, so it is divisible by 2.

What are the factors of 59160?

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 17, 20, 24, 29, 30, 34, 40, 51, 58, 60, 68, 85, 87, 102, 116, 120, 136, 145, 170, 174, 204, 232, 255, 290, 340, 348, 408, 435, 493, 510, 580, 680, 696, 870, 986, 1020, 1160, 1479, 1740, 1972, 2040, 2465, 2958, 3480, 3944, 4930, 5916, 7395, 9860, 11832, 14790, 19720, 29580, 59160.

What is 59160 in binary?

1110011100011000 (hexadecimal E718, octal 163430).

What is the square root of 59160?

About 243.2283, exactly 2√14790.

Is 59160 divisible by 3?

Yes. Its digits add up to 21, a multiple of 3.

What is special about the number 59160?

It is a composite number with 64 divisors.