The number 58720
58720 is a composite number with 24 divisors. Its prime factorisation is × 5 × 367. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 367, 734, 1468, 1835 … 58720.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58720 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58720 is composite. Its prime factorisation is
- 3
The divisors add up to 139104; without 58720 itself that is 80384, so 58720 is abundant (80384 is more than 58720). Euler's totient φ(58720) = 23424 numbers up to 58720 share no factor with it.
- 4
The digits of 58720 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 135 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58720 = 2^{5} \times 5 \times 367 \]58720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 139104 |
| Euler totient φ(n) | 23424 |
| Square | 3448038400 |
| Cube | 202468814848000 |
| Square root | 242.322100 (= 4√3670) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.872 × |
58720 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand seven hundred and twenty |
| Binary (base 2) | 1110010101100000 |
| Octal (base 8) | 162540 |
| Hexadecimal (base 16) | E560 |
| Base 3 | 2222112211 |
| As time | 58720 seconds = 16 h 18 min 40 s |
Is 58720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58720 ÷ 2 = 29360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58720 ÷ 4 = 14680) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58720 ÷ 5 = 11744) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | 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 | Yes (58720 ÷ 8 = 7340) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58720 ÷ 10 = 5872) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58720 a prime number?
No. 58720 = × 5 × 367, so it is divisible by 2.
What are the factors of 58720?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 367, 734, 1468, 1835, 2936, 3670, 5872, 7340, 11744, 14680, 29360, 58720.
What is 58720 in binary?
1110010101100000 (hexadecimal E560, octal 162540).
What is the square root of 58720?
About 242.3221, exactly 4√3670.
Is 58720 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 58720?
It is a composite number with 24 divisors.