The number 64090
64090 is a composite number with 32 divisors. Its prime factorisation is 2 × 5 × 13 × 17 × 29. Divisors (32): 1, 2, 5, 10, 13, 17, 26, 29, 34, 58, 65, 85, 130, 145, 170, 221 … 64090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64090: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
64090 is composite. Its prime factorisation is
- 3
The divisors add up to 136080; without 64090 itself that is 71990, so 64090 is abundant (71990 is more than 64090). Euler's totient φ(64090) = 21504 numbers up to 64090 share no factor with it.
- 4
The digits of 64090 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64090 = 2 \times 5 \times 13 \times 17 \times 29 \]
64090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136080 |
| Euler totient φ(n) | 21504 |
| Square | 4107528100 |
| Cube | 263251475929000 |
| Square root | 253.160028 |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 55 |
| Scientific notation | 6.409 × |
64090 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand and ninety |
| Binary (base 2) | 1111101001011010 |
| Octal (base 8) | 175132 |
| Hexadecimal (base 16) | FA5A |
| Base 3 | 10020220201 |
| As time | 64090 seconds = 17 h 48 min 10 s |
Is 64090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64090 ÷ 2 = 32045) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64090 ÷ 5 = 12818) | 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 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 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (64090 ÷ 10 = 6409) | 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 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64090 a prime number?
No. 64090 = 2 × 5 × 13 × 17 × 29, so it is divisible by 2.
What are the factors of 64090?
1, 2, 5, 10, 13, 17, 26, 29, 34, 58, 65, 85, 130, 145, 170, 221, 290, 377, 442, 493, 754, 986, 1105, 1885, 2210, 2465, 3770, 4930, 6409, 12818, 32045, 64090.
What is 64090 in binary?
1111101001011010 (hexadecimal FA5A, octal 175132).
What is the square root of 64090?
About 253.1600.
Is 64090 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 64090?
64090 is a happy number: repeatedly adding the squares of its digits reaches 1.