The number 60112
60112 is a composite number with 30 divisors. Its prime factorisation is × 13 × . Divisors (30): 1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272 … 60112.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
60112 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
60112 is composite. Its prime factorisation is
- 3
The divisors add up to 133238; without 60112 itself that is 73126, so 60112 is abundant (73126 is more than 60112). Euler's totient φ(60112) = 26112 numbers up to 60112 share no factor with it.
- 4
The digits of 60112 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60112 = 2^{4} \times 13 \times 17^{2} \]60112 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 133238 |
| Euler totient φ(n) | 26112 |
| Square | 3613452544 |
| Cube | 217211859324928 |
| Square root | 245.177487 (= 68√13) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0112 × |
60112 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and twelve |
| Binary (base 2) | 1110101011010000 |
| Octal (base 8) | 165320 |
| Hexadecimal (base 16) | EAD0 |
| Base 3 | 10001110101 |
| As time | 60112 seconds = 16 h 41 min 52 s |
Is 60112 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60112 ÷ 2 = 30056) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60112 ÷ 4 = 15028) | 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 | No (remainder 4) | 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 (60112 ÷ 8 = 7514) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | 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 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60112 a prime number?
No. 60112 = × 13 × , so it is divisible by 2.
What are the factors of 60112?
1, 2, 4, 8, 13, 16, 17, 26, 34, 52, 68, 104, 136, 208, 221, 272, 289, 442, 578, 884, 1156, 1768, 2312, 3536, 3757, 4624, 7514, 15028, 30056, 60112.
What is 60112 in binary?
1110101011010000 (hexadecimal EAD0, octal 165320).
What is the square root of 60112?
About 245.1775, exactly 68√13.
Is 60112 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 60112?
It is a composite number with 30 divisors.