The number 58920
58920 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 491. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 58920.
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How to work it out
- 1
What is special about 58920: a Harshad number: divisible by its digit sum 24.
- 2
58920 is composite. Its prime factorisation is
- 3
The divisors add up to 177120; without 58920 itself that is 118200, so 58920 is abundant (118200 is more than 58920). Euler's totient φ(58920) = 15680 numbers up to 58920 share no factor with it.
- 4
The digits of 58920 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 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58920 = 2^{3} \times 3 \times 5 \times 491 \]58920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 177120 |
| Euler totient φ(n) | 15680 |
| Square | 3471566400 |
| Cube | 204544692288000 |
| Square root | 242.734423 (= 2√14730) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.892 × |
58920 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand nine hundred and twenty |
| Binary (base 2) | 1110011000101000 |
| Octal (base 8) | 163050 |
| Hexadecimal (base 16) | E628 |
| Base 3 | 2222211020 |
| As time | 58920 seconds = 16 h 22 min 0 s |
Is 58920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58920 ÷ 2 = 29460) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58920 ÷ 3 = 19640) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58920 ÷ 4 = 14730) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58920 ÷ 5 = 11784) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58920 ÷ 6 = 9820) | 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 (58920 ÷ 8 = 7365) | 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 (58920 ÷ 10 = 5892) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58920 ÷ 12 = 4910) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58920 a prime number?
No. 58920 = × 3 × 5 × 491, so it is divisible by 2.
What are the factors of 58920?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 491, 982, 1473, 1964, 2455, 2946, 3928, 4910, 5892, 7365, 9820, 11784, 14730, 19640, 29460, 58920.
What is 58920 in binary?
1110011000101000 (hexadecimal E628, octal 163050).
What is the square root of 58920?
About 242.7344, exactly 2√14730.
Is 58920 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 58920?
58920 is a Harshad number: divisible by its digit sum 24.