The number 58890
58890 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 13 × 151. Divisors (32): 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 151, 195 … 58890.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 58890: a Harshad number: divisible by its digit sum 30.
- 2
58890 is composite. Its prime factorisation is
- 3
The divisors add up to 153216; without 58890 itself that is 94326, so 58890 is abundant (94326 is more than 58890). Euler's totient φ(58890) = 14400 numbers up to 58890 share no factor with it.
- 4
The digits of 58890 add up to 30, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58890 = 2 \times 3 \times 5 \times 13 \times 151 \]
58890 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 153216 |
| Euler totient φ(n) | 14400 |
| Square | 3468032100 |
| Cube | 204232410369000 |
| Square root | 242.672619 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.889 × |
58890 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand eight hundred and ninety |
| Binary (base 2) | 1110011000001010 |
| Octal (base 8) | 163012 |
| Hexadecimal (base 16) | E60A |
| Base 3 | 2222210010 |
| As time | 58890 seconds = 16 h 21 min 30 s |
Is 58890 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58890 ÷ 2 = 29445) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (58890 ÷ 3 = 19630) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58890 ÷ 5 = 11778) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (58890 ÷ 6 = 9815) | 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 | No (remainder 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58890 ÷ 10 = 5889) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58890 a prime number?
No. 58890 = 2 × 3 × 5 × 13 × 151, so it is divisible by 2.
What are the factors of 58890?
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 151, 195, 302, 390, 453, 755, 906, 1510, 1963, 2265, 3926, 4530, 5889, 9815, 11778, 19630, 29445, 58890.
What is 58890 in binary?
1110011000001010 (hexadecimal E60A, octal 163012).
What is the square root of 58890?
About 242.6726.
Is 58890 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 58890?
58890 is a Harshad number: divisible by its digit sum 30.