The number 64320
64320 is a composite number with 56 divisors. Its prime factorisation is × 3 × 5 × 67. Divisors (56): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 64320.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 64320: a Harshad number: divisible by its digit sum 15.
- 2
64320 is composite. Its prime factorisation is
- 3
The divisors add up to 207264; without 64320 itself that is 142944, so 64320 is abundant (142944 is more than 64320). Euler's totient φ(64320) = 16896 numbers up to 64320 share no factor with it.
- 4
The digits of 64320 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 64320 = 2^{6} \times 3 \times 5 \times 67 \]64320 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 56 |
| Sum of divisors | 207264 |
| Euler totient φ(n) | 16896 |
| Square | 4137062400 |
| Cube | 266095853568000 |
| Square root | 253.613880 (= 8√1005) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.432 × |
64320 in other forms
| Form | Value |
|---|---|
| In words | sixty-four thousand three hundred and twenty |
| Binary (base 2) | 1111101101000000 |
| Octal (base 8) | 175500 |
| Hexadecimal (base 16) | FB40 |
| Base 3 | 10021020020 |
| As time | 64320 seconds = 17 h 52 min 0 s |
Is 64320 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (64320 ÷ 2 = 32160) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (64320 ÷ 3 = 21440) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (64320 ÷ 4 = 16080) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (64320 ÷ 5 = 12864) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (64320 ÷ 6 = 10720) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (64320 ÷ 8 = 8040) | 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 (64320 ÷ 10 = 6432) | 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 | Yes (64320 ÷ 12 = 5360) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 64320 a prime number?
No. 64320 = × 3 × 5 × 67, so it is divisible by 2.
What are the factors of 64320?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 67, 80, 96, 120, 134, 160, 192, 201, 240, 268, 320, 335, 402, 480, 536, 670, 804, 960, 1005, 1072, 1340, 1608, 2010, 2144, 2680, 3216, 4020, 4288, 5360, 6432, 8040, 10720, 12864, 16080, 21440, 32160, 64320.
What is 64320 in binary?
1111101101000000 (hexadecimal FB40, octal 175500).
What is the square root of 64320?
About 253.6139, exactly 8√1005.
Is 64320 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 64320?
64320 is a Harshad number: divisible by its digit sum 15.