The number 57720
57720 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 13 × 37. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 37 … 57720.
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How to work it out
- 1
57720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57720 is composite. Its prime factorisation is
- 3
The divisors add up to 191520; without 57720 itself that is 133800, so 57720 is abundant (133800 is more than 57720). Euler's totient φ(57720) = 13824 numbers up to 57720 share no factor with it.
- 4
The digits of 57720 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57720 = 2^{3} \times 3 \times 5 \times 13 \times 37 \]57720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 191520 |
| Euler totient φ(n) | 13824 |
| Square | 3331598400 |
| Cube | 192299859648000 |
| Square root | 240.249870 (= 2√14430) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.772 × |
57720 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand seven hundred and twenty |
| Binary (base 2) | 1110000101111000 |
| Octal (base 8) | 160570 |
| Hexadecimal (base 16) | E178 |
| Base 3 | 2221011210 |
| As time | 57720 seconds = 16 h 2 min 0 s |
Is 57720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57720 ÷ 2 = 28860) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57720 ÷ 3 = 19240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57720 ÷ 4 = 14430) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57720 ÷ 5 = 11544) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57720 ÷ 6 = 9620) | 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 (57720 ÷ 8 = 7215) | 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 (57720 ÷ 10 = 5772) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57720 ÷ 12 = 4810) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57720 a prime number?
No. 57720 = × 3 × 5 × 13 × 37, so it is divisible by 2.
What are the factors of 57720?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 20, 24, 26, 30, 37, 39, 40, 52, 60, 65, 74, 78, 104, 111, 120, 130, 148, 156, 185, 195, 222, 260, 296, 312, 370, 390, 444, 481, 520, 555, 740, 780, 888, 962, 1110, 1443, 1480, 1560, 1924, 2220, 2405, 2886, 3848, 4440, 4810, 5772, 7215, 9620, 11544, 14430, 19240, 28860, 57720.
What is 57720 in binary?
1110000101111000 (hexadecimal E178, octal 160570).
What is the square root of 57720?
About 240.2499, exactly 2√14430.
Is 57720 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57720?
It is a composite number with 64 divisors.