The number 57990
57990 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 1933. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 1933, 3866, 5799, 9665, 11598, 19330, 28995, 57990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57990: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.
- 2
57990 is composite. Its prime factorisation is
- 3
The divisors add up to 139248; without 57990 itself that is 81258, so 57990 is abundant (81258 is more than 57990). Euler's totient φ(57990) = 15456 numbers up to 57990 share no factor with it.
- 4
The digits of 57990 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
\[ 57990 = 2 \times 3 \times 5 \times 1933 \]
57990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 139248 |
| Euler totient φ(n) | 15456 |
| Square | 3362840100 |
| Cube | 195011097399000 |
| Square root | 240.811129 |
| Digit sum / digital root | 30 / 3 |
| Collatz steps to 1 | 135 |
| Scientific notation | 5.799 × |
57990 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand nine hundred and ninety |
| Binary (base 2) | 1110001010000110 |
| Octal (base 8) | 161206 |
| Hexadecimal (base 16) | E286 |
| Base 3 | 2221112210 |
| As time | 57990 seconds = 16 h 6 min 30 s |
Is 57990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (57990 ÷ 2 = 28995) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (57990 ÷ 3 = 19330) | 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 (57990 ÷ 5 = 11598) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (57990 ÷ 6 = 9665) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | 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 (57990 ÷ 10 = 5799) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 57990 a prime number?
No. 57990 = 2 × 3 × 5 × 1933, so it is divisible by 2.
What are the factors of 57990?
1, 2, 3, 5, 6, 10, 15, 30, 1933, 3866, 5799, 9665, 11598, 19330, 28995, 57990.
What is 57990 in binary?
1110001010000110 (hexadecimal E286, octal 161206).
What is the square root of 57990?
About 240.8111.
Is 57990 divisible by 3?
Yes. Its digits add up to 30, a multiple of 3.
What is special about the number 57990?
57990 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 30.