The number 60264
60264 is a composite number with 48 divisors. Its prime factorisation is × × 31. Divisors (48): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72 … 60264.
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How to work it out
- 1
What is special about 60264: a Harshad number: divisible by its digit sum 18.
- 2
60264 is composite. Its prime factorisation is
- 3
The divisors add up to 174720; without 60264 itself that is 114456, so 60264 is abundant (114456 is more than 60264). Euler's totient φ(60264) = 19440 numbers up to 60264 share no factor with it.
- 4
The digits of 60264 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60264 = 2^{3} \times 3^{5} \times 31 \]60264 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 174720 |
| Euler totient φ(n) | 19440 |
| Square | 3631749696 |
| Cube | 218863763679744 |
| Square root | 245.487271 (= 18√186) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0264 × |
60264 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand two hundred and sixty-four |
| Binary (base 2) | 1110101101101000 |
| Octal (base 8) | 165550 |
| Hexadecimal (base 16) | EB68 |
| Base 3 | 10001200000 |
| As time | 60264 seconds = 16 h 44 min 24 s |
Is 60264 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60264 ÷ 2 = 30132) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60264 ÷ 3 = 20088) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60264 ÷ 4 = 15066) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60264 ÷ 6 = 10044) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (60264 ÷ 8 = 7533) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60264 ÷ 9 = 6696) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | 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 (60264 ÷ 12 = 5022) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60264 a prime number?
No. 60264 = × × 31, so it is divisible by 2.
What are the factors of 60264?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 243, 248, 279, 324, 372, 486, 558, 648, 744, 837, 972, 1116, 1674, 1944, 2232, 2511, 3348, 5022, 6696, 7533, 10044, 15066, 20088, 30132, 60264.
What is 60264 in binary?
1110101101101000 (hexadecimal EB68, octal 165550).
What is the square root of 60264?
About 245.4873, exactly 18√186.
Is 60264 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 60264?
60264 is a Harshad number: divisible by its digit sum 18.