The number 57090
57090 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 11 × 173. Divisors (32): 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 173 … 57090.
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How to work it out
- 1
57090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
57090 is composite. Its prime factorisation is
- 3
The divisors add up to 150336; without 57090 itself that is 93246, so 57090 is abundant (93246 is more than 57090). Euler's totient φ(57090) = 13760 numbers up to 57090 share no factor with it.
- 4
The digits of 57090 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 57090 = 2 \times 3 \times 5 \times 11 \times 173 \]
57090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 150336 |
| Euler totient φ(n) | 13760 |
| Square | 3259268100 |
| Cube | 186071615829000 |
| Square root | 238.935138 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 60 |
| Scientific notation | 5.709 × |
57090 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand and ninety |
| Binary (base 2) | 1101111100000010 |
| Octal (base 8) | 157402 |
| Hexadecimal (base 16) | DF02 |
| Base 3 | 2220022110 |
| As time | 57090 seconds = 15 h 51 min 30 s |
Is 57090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57090 ÷ 2 = 28545) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57090 ÷ 3 = 19030) | 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 (57090 ÷ 5 = 11418) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57090 ÷ 6 = 9515) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (57090 ÷ 10 = 5709) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (57090 ÷ 11 = 5190) | 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 57090 a prime number?
No. 57090 = 2 × 3 × 5 × 11 × 173, so it is divisible by 2.
What are the factors of 57090?
1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 173, 330, 346, 519, 865, 1038, 1730, 1903, 2595, 3806, 5190, 5709, 9515, 11418, 19030, 28545, 57090.
What is 57090 in binary?
1101111100000010 (hexadecimal DF02, octal 157402).
What is the square root of 57090?
About 238.9351.
Is 57090 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 57090?
It is a composite number with 32 divisors.