The number 57480
57480 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 479. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 57480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57480: a Harshad number: divisible by its digit sum 24.
- 2
57480 is composite. Its prime factorisation is
- 3
The divisors add up to 172800; without 57480 itself that is 115320, so 57480 is abundant (115320 is more than 57480). Euler's totient φ(57480) = 15296 numbers up to 57480 share no factor with it.
- 4
The digits of 57480 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57480 = 2^{3} \times 3 \times 5 \times 479 \]57480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 172800 |
| Euler totient φ(n) | 15296 |
| Square | 3303950400 |
| Cube | 189911068992000 |
| Square root | 239.749870 (= 2√14370) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.748 × |
57480 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and eighty |
| Binary (base 2) | 1110000010001000 |
| Octal (base 8) | 160210 |
| Hexadecimal (base 16) | E088 |
| Base 3 | 2220211220 |
| As time | 57480 seconds = 15 h 58 min 0 s |
Is 57480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57480 ÷ 2 = 28740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57480 ÷ 3 = 19160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57480 ÷ 4 = 14370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57480 ÷ 5 = 11496) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57480 ÷ 6 = 9580) | 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 (57480 ÷ 8 = 7185) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57480 ÷ 10 = 5748) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57480 ÷ 12 = 4790) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57480 a prime number?
No. 57480 = × 3 × 5 × 479, so it is divisible by 2.
What are the factors of 57480?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 479, 958, 1437, 1916, 2395, 2874, 3832, 4790, 5748, 7185, 9580, 11496, 14370, 19160, 28740, 57480.
What is 57480 in binary?
1110000010001000 (hexadecimal E088, octal 160210).
What is the square root of 57480?
About 239.7499, exactly 2√14370.
Is 57480 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57480?
57480 is a Harshad number: divisible by its digit sum 24.