The number 57240
57240 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 53. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 57240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57240: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
57240 is composite. Its prime factorisation is
- 3
The divisors add up to 194400; without 57240 itself that is 137160, so 57240 is abundant (137160 is more than 57240). Euler's totient φ(57240) = 14976 numbers up to 57240 share no factor with it.
- 4
The digits of 57240 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57240 = 2^{3} \times 3^{3} \times 5 \times 53 \]57240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 194400 |
| Euler totient φ(n) | 14976 |
| Square | 3276417600 |
| Cube | 187542143424000 |
| Square root | 239.248824 (= 6√1590) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.724 × |
57240 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand two hundred and forty |
| Binary (base 2) | 1101111110011000 |
| Octal (base 8) | 157630 |
| Hexadecimal (base 16) | DF98 |
| Base 3 | 2220112000 |
| As time | 57240 seconds = 15 h 54 min 0 s |
Is 57240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57240 ÷ 2 = 28620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57240 ÷ 3 = 19080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57240 ÷ 4 = 14310) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57240 ÷ 5 = 11448) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57240 ÷ 6 = 9540) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (57240 ÷ 8 = 7155) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (57240 ÷ 9 = 6360) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57240 ÷ 10 = 5724) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57240 ÷ 12 = 4770) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57240 a prime number?
No. 57240 = × × 5 × 53, so it is divisible by 2.
What are the factors of 57240?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 53, 54, 60, 72, 90, 106, 108, 120, 135, 159, 180, 212, 216, 265, 270, 318, 360, 424, 477, 530, 540, 636, 795, 954, 1060, 1080, 1272, 1431, 1590, 1908, 2120, 2385, 2862, 3180, 3816, 4770, 5724, 6360, 7155, 9540, 11448, 14310, 19080, 28620, 57240.
What is 57240 in binary?
1101111110011000 (hexadecimal DF98, octal 157630).
What is the square root of 57240?
About 239.2488, exactly 6√1590.
Is 57240 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 57240?
57240 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.