The number 57440
57440 is a composite number with 24 divisors. Its prime factorisation is × 5 × 359. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 359, 718, 1436, 1795 … 57440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57440: a Harshad number: divisible by its digit sum 20.
- 2
57440 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 57440 itself that is 78640, so 57440 is abundant (78640 is more than 57440). Euler's totient φ(57440) = 22912 numbers up to 57440 share no factor with it.
- 4
The digits of 57440 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57440 = 2^{5} \times 5 \times 359 \]57440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 22912 |
| Square | 3299353600 |
| Cube | 189514870784000 |
| Square root | 239.666435 (= 4√3590) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.744 × |
57440 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and forty |
| Binary (base 2) | 1110000001100000 |
| Octal (base 8) | 160140 |
| Hexadecimal (base 16) | E060 |
| Base 3 | 2220210102 |
| As time | 57440 seconds = 15 h 57 min 20 s |
Is 57440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57440 ÷ 2 = 28720) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57440 ÷ 4 = 14360) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57440 ÷ 5 = 11488) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (57440 ÷ 8 = 7180) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (57440 ÷ 10 = 5744) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57440 a prime number?
No. 57440 = × 5 × 359, so it is divisible by 2.
What are the factors of 57440?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 359, 718, 1436, 1795, 2872, 3590, 5744, 7180, 11488, 14360, 28720, 57440.
What is 57440 in binary?
1110000001100000 (hexadecimal E060, octal 160140).
What is the square root of 57440?
About 239.6664, exactly 4√3590.
Is 57440 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 57440?
57440 is a Harshad number: divisible by its digit sum 20.