The number 67290
67290 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 2243. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 2243, 4486, 6729, 11215, 13458, 22430, 33645, 67290.
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How to work it out
- 1
67290 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67290 is composite. Its prime factorisation is
- 3
The divisors add up to 161568; without 67290 itself that is 94278, so 67290 is abundant (94278 is more than 67290). Euler's totient φ(67290) = 17936 numbers up to 67290 share no factor with it.
- 4
The digits of 67290 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67290 = 2 \times 3 \times 5 \times 2243 \]
67290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 161568 |
| Euler totient φ(n) | 17936 |
| Square | 4527944100 |
| Cube | 304685358489000 |
| Square root | 259.403161 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.729 × |
67290 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and ninety |
| Binary (base 2) | 10000011011011010 |
| Octal (base 8) | 203332 |
| Hexadecimal (base 16) | 106DA |
| Base 3 | 10102022020 |
| As time | 67290 seconds = 18 h 41 min 30 s |
Is 67290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67290 ÷ 2 = 33645) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67290 ÷ 3 = 22430) | 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 (67290 ÷ 5 = 13458) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67290 ÷ 6 = 11215) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67290 ÷ 10 = 6729) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 67290 a prime number?
No. 67290 = 2 × 3 × 5 × 2243, so it is divisible by 2.
What are the factors of 67290?
1, 2, 3, 5, 6, 10, 15, 30, 2243, 4486, 6729, 11215, 13458, 22430, 33645, 67290.
What is 67290 in binary?
10000011011011010 (hexadecimal 106DA, octal 203332).
What is the square root of 67290?
About 259.4032.
Is 67290 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67290?
It is a composite number with 16 divisors.