The number 67392
67392 is a composite number with 70 divisors. Its prime factorisation is × × 13. Divisors (70): 1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36 … 67392.
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How to work it out
- 1
What is special about 67392: a Harshad number: divisible by its digit sum 27.
- 2
67392 is composite. Its prime factorisation is
- 3
The divisors add up to 215138; without 67392 itself that is 147746, so 67392 is abundant (147746 is more than 67392). Euler's totient φ(67392) = 20736 numbers up to 67392 share no factor with it.
- 4
The digits of 67392 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67392 = 2^{6} \times 3^{4} \times 13 \]67392 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 70 |
| Sum of divisors | 215138 |
| Euler totient φ(n) | 20736 |
| Square | 4541681664 |
| Cube | 306073010700288 |
| Square root | 259.599692 (= 72√13) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 86 |
| Scientific notation | 6.7392 × |
67392 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and ninety-two |
| Binary (base 2) | 10000011101000000 |
| Octal (base 8) | 203500 |
| Hexadecimal (base 16) | 10740 |
| Base 3 | 10102110000 |
| As time | 67392 seconds = 18 h 43 min 12 s |
Is 67392 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67392 ÷ 2 = 33696) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67392 ÷ 3 = 22464) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67392 ÷ 4 = 16848) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67392 ÷ 6 = 11232) | 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 (67392 ÷ 8 = 8424) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67392 ÷ 9 = 7488) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67392 ÷ 12 = 5616) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67392 a prime number?
No. 67392 = × × 13, so it is divisible by 2.
What are the factors of 67392?
1, 2, 3, 4, 6, 8, 9, 12, 13, 16, 18, 24, 26, 27, 32, 36, 39, 48, 52, 54, 64, 72, 78, 81, 96, 104, 108, 117, 144, 156, 162, 192, 208, 216, 234, 288, 312, 324, 351, 416, 432, 468, 576, 624, 648, 702, 832, 864, 936, 1053, 1248, 1296, 1404, 1728, 1872, 2106, 2496, 2592, 2808, 3744, 4212, 5184, 5616, 7488, 8424, 11232, 16848, 22464, 33696, 67392.
What is 67392 in binary?
10000011101000000 (hexadecimal 10740, octal 203500).
What is the square root of 67392?
About 259.5997, exactly 72√13.
Is 67392 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67392?
67392 is a Harshad number: divisible by its digit sum 27.