The number 58860
58860 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 109. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 58860.
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How to work it out
- 1
What is special about 58860: a Harshad number: divisible by its digit sum 27.
- 2
58860 is composite. Its prime factorisation is
- 3
The divisors add up to 184800; without 58860 itself that is 125940, so 58860 is abundant (125940 is more than 58860). Euler's totient φ(58860) = 15552 numbers up to 58860 share no factor with it.
- 4
The digits of 58860 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 122 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58860 = 2^{2} \times 3^{3} \times 5 \times 109 \]58860 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 184800 |
| Euler totient φ(n) | 15552 |
| Square | 3464499600 |
| Cube | 203920446456000 |
| Square root | 242.610799 (= 6√1635) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 122 |
| Scientific notation | 5.886 × |
58860 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and sixty |
| Binary (base 2) | 1110010111101100 |
| Octal (base 8) | 162754 |
| Hexadecimal (base 16) | E5EC |
| Base 3 | 2222202000 |
| As time | 58860 seconds = 16 h 21 min 0 s |
Is 58860 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58860 ÷ 2 = 29430) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58860 ÷ 3 = 19620) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58860 ÷ 4 = 14715) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58860 ÷ 5 = 11772) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58860 ÷ 6 = 9810) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (58860 ÷ 9 = 6540) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58860 ÷ 10 = 5886) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (58860 ÷ 12 = 4905) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58860 a prime number?
No. 58860 = × × 5 × 109, so it is divisible by 2.
What are the factors of 58860?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 109, 135, 180, 218, 270, 327, 436, 540, 545, 654, 981, 1090, 1308, 1635, 1962, 2180, 2943, 3270, 3924, 4905, 5886, 6540, 9810, 11772, 14715, 19620, 29430, 58860.
What is 58860 in binary?
1110010111101100 (hexadecimal E5EC, octal 162754).
What is the square root of 58860?
About 242.6108, exactly 6√1635.
Is 58860 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 58860?
58860 is a Harshad number: divisible by its digit sum 27.