The number 60768
60768 is a composite number with 36 divisors. Its prime factorisation is × × 211. Divisors (36): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96 … 60768.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60768 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60768 is composite. Its prime factorisation is
- 3
The divisors add up to 173628; without 60768 itself that is 112860, so 60768 is abundant (112860 is more than 60768). Euler's totient φ(60768) = 20160 numbers up to 60768 share no factor with it.
- 4
The digits of 60768 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 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60768 = 2^{5} \times 3^{2} \times 211 \]60768 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 173628 |
| Euler totient φ(n) | 20160 |
| Square | 3692749824 |
| Cube | 224401021304832 |
| Square root | 246.511663 (= 12√422) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.0768 × |
60768 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand seven hundred and sixty-eight |
| Binary (base 2) | 1110110101100000 |
| Octal (base 8) | 166540 |
| Hexadecimal (base 16) | ED60 |
| Base 3 | 10002100200 |
| As time | 60768 seconds = 16 h 52 min 48 s |
Is 60768 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60768 ÷ 2 = 30384) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60768 ÷ 3 = 20256) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60768 ÷ 4 = 15192) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60768 ÷ 6 = 10128) | 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 (60768 ÷ 8 = 7596) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60768 ÷ 9 = 6752) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (60768 ÷ 12 = 5064) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60768 a prime number?
No. 60768 = × × 211, so it is divisible by 2.
What are the factors of 60768?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 211, 288, 422, 633, 844, 1266, 1688, 1899, 2532, 3376, 3798, 5064, 6752, 7596, 10128, 15192, 20256, 30384, 60768.
What is 60768 in binary?
1110110101100000 (hexadecimal ED60, octal 166540).
What is the square root of 60768?
About 246.5117, exactly 12√422.
Is 60768 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 60768?
It is a composite number with 36 divisors.