The number 56880
56880 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 79. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 56880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
56880 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
56880 is composite. Its prime factorisation is
- 3
The divisors add up to 193440; without 56880 itself that is 136560, so 56880 is abundant (136560 is more than 56880). Euler's totient φ(56880) = 14976 numbers up to 56880 share no factor with it.
- 4
The digits of 56880 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 56880 = 2^{4} \times 3^{2} \times 5 \times 79 \]56880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 193440 |
| Euler totient φ(n) | 14976 |
| Square | 3235334400 |
| Cube | 184025820672000 |
| Square root | 238.495283 (= 12√395) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.688 × |
56880 in other forms
| Form | Value |
|---|---|
| In words | fifty-six thousand eight hundred and eighty |
| Binary (base 2) | 1101111000110000 |
| Octal (base 8) | 157060 |
| Hexadecimal (base 16) | DE30 |
| Base 3 | 2220000200 |
| As time | 56880 seconds = 15 h 48 min 0 s |
Is 56880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (56880 ÷ 2 = 28440) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (56880 ÷ 3 = 18960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (56880 ÷ 4 = 14220) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (56880 ÷ 5 = 11376) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (56880 ÷ 6 = 9480) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (56880 ÷ 8 = 7110) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (56880 ÷ 9 = 6320) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (56880 ÷ 10 = 5688) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (56880 ÷ 12 = 4740) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 56880 a prime number?
No. 56880 = × × 5 × 79, so it is divisible by 2.
What are the factors of 56880?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 79, 80, 90, 120, 144, 158, 180, 237, 240, 316, 360, 395, 474, 632, 711, 720, 790, 948, 1185, 1264, 1422, 1580, 1896, 2370, 2844, 3160, 3555, 3792, 4740, 5688, 6320, 7110, 9480, 11376, 14220, 18960, 28440, 56880.
What is 56880 in binary?
1101111000110000 (hexadecimal DE30, octal 157060).
What is the square root of 56880?
About 238.4953, exactly 12√395.
Is 56880 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 56880?
It is a composite number with 60 divisors.