The number 57840
57840 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 241. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 57840.
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How to work it out
- 1
What is special about 57840: a Harshad number: divisible by its digit sum 24.
- 2
57840 is composite. Its prime factorisation is
- 3
The divisors add up to 180048; without 57840 itself that is 122208, so 57840 is abundant (122208 is more than 57840). Euler's totient φ(57840) = 15360 numbers up to 57840 share no factor with it.
- 4
The digits of 57840 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
\[ 57840 = 2^{4} \times 3 \times 5 \times 241 \]57840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 180048 |
| Euler totient φ(n) | 15360 |
| Square | 3345465600 |
| Cube | 193501730304000 |
| Square root | 240.499480 (= 4√3615) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 5.784 × |
57840 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand eight hundred and forty |
| Binary (base 2) | 1110000111110000 |
| Octal (base 8) | 160760 |
| Hexadecimal (base 16) | E1F0 |
| Base 3 | 2221100020 |
| As time | 57840 seconds = 16 h 4 min 0 s |
Is 57840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57840 ÷ 2 = 28920) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57840 ÷ 3 = 19280) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (57840 ÷ 4 = 14460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (57840 ÷ 5 = 11568) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57840 ÷ 6 = 9640) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (57840 ÷ 8 = 7230) | 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 (57840 ÷ 10 = 5784) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (57840 ÷ 12 = 4820) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57840 a prime number?
No. 57840 = × 3 × 5 × 241, so it is divisible by 2.
What are the factors of 57840?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240, 241, 482, 723, 964, 1205, 1446, 1928, 2410, 2892, 3615, 3856, 4820, 5784, 7230, 9640, 11568, 14460, 19280, 28920, 57840.
What is 57840 in binary?
1110000111110000 (hexadecimal E1F0, octal 160760).
What is the square root of 57840?
About 240.4995, exactly 4√3615.
Is 57840 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 57840?
57840 is a Harshad number: divisible by its digit sum 24.