The number 58040
58040 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1451. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1451, 2902, 5804, 7255, 11608, 14510, 29020, 58040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
58040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
58040 is composite. Its prime factorisation is
- 3
The divisors add up to 130680; without 58040 itself that is 72640, so 58040 is abundant (72640 is more than 58040). Euler's totient φ(58040) = 23200 numbers up to 58040 share no factor with it.
- 4
The digits of 58040 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 58040 = 2^{3} \times 5 \times 1451 \]58040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 130680 |
| Euler totient φ(n) | 23200 |
| Square | 3368641600 |
| Cube | 195515958464000 |
| Square root | 240.914923 (= 2√14510) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.804 × |
58040 in other forms
| Form | Value |
|---|---|
| In words | fifty-eight thousand and forty |
| Binary (base 2) | 1110001010111000 |
| Octal (base 8) | 161270 |
| Hexadecimal (base 16) | E2B8 |
| Base 3 | 2221121122 |
| As time | 58040 seconds = 16 h 7 min 20 s |
Is 58040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (58040 ÷ 2 = 29020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (58040 ÷ 4 = 14510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (58040 ÷ 5 = 11608) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (58040 ÷ 8 = 7255) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (58040 ÷ 10 = 5804) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 58040 a prime number?
No. 58040 = × 5 × 1451, so it is divisible by 2.
What are the factors of 58040?
1, 2, 4, 5, 8, 10, 20, 40, 1451, 2902, 5804, 7255, 11608, 14510, 29020, 58040.
What is 58040 in binary?
1110001010111000 (hexadecimal E2B8, octal 161270).
What is the square root of 58040?
About 240.9149, exactly 2√14510.
Is 58040 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 58040?
It is a composite number with 16 divisors.