The number 57040
57040 is a composite number with 40 divisors. Its prime factorisation is × 5 × 23 × 31. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 20, 23, 31, 40, 46, 62, 80, 92, 115 … 57040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57040: a Harshad number: divisible by its digit sum 16.
- 2
57040 is composite. Its prime factorisation is
- 3
The divisors add up to 142848; without 57040 itself that is 85808, so 57040 is abundant (85808 is more than 57040). Euler's totient φ(57040) = 21120 numbers up to 57040 share no factor with it.
- 4
The digits of 57040 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 52 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57040 = 2^{4} \times 5 \times 23 \times 31 \]57040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 142848 |
| Euler totient φ(n) | 21120 |
| Square | 3253561600 |
| Cube | 185583153664000 |
| Square root | 238.830484 (= 4√3565) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 52 |
| Scientific notation | 5.704 × |
57040 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and forty |
| Binary (base 2) | 1101111011010000 |
| Octal (base 8) | 157320 |
| Hexadecimal (base 16) | DED0 |
| Base 3 | 2220020121 |
| As time | 57040 seconds = 15 h 50 min 40 s |
Is 57040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57040 ÷ 2 = 28520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57040 ÷ 4 = 14260) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57040 ÷ 5 = 11408) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (57040 ÷ 8 = 7130) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57040 ÷ 10 = 5704) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57040 a prime number?
No. 57040 = × 5 × 23 × 31, so it is divisible by 2.
What are the factors of 57040?
1, 2, 4, 5, 8, 10, 16, 20, 23, 31, 40, 46, 62, 80, 92, 115, 124, 155, 184, 230, 248, 310, 368, 460, 496, 620, 713, 920, 1240, 1426, 1840, 2480, 2852, 3565, 5704, 7130, 11408, 14260, 28520, 57040.
What is 57040 in binary?
1101111011010000 (hexadecimal DED0, octal 157320).
What is the square root of 57040?
About 238.8305, exactly 4√3565.
Is 57040 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 57040?
57040 is a Harshad number: divisible by its digit sum 16.