The number 60116
60116 is a composite number with 24 divisors. Its prime factorisation is × 7 × 19 × 113. Divisors (24): 1, 2, 4, 7, 14, 19, 28, 38, 76, 113, 133, 226, 266, 452, 532, 791 … 60116.
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How to work it out
- 1
What is special about 60116: a Harshad number: divisible by its digit sum 14.
- 2
60116 is composite. Its prime factorisation is
- 3
The divisors add up to 127680; without 60116 itself that is 67564, so 60116 is abundant (67564 is more than 60116). Euler's totient φ(60116) = 24192 numbers up to 60116 share no factor with it.
- 4
The digits of 60116 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 91 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60116 = 2^{2} \times 7 \times 19 \times 113 \]60116 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 127680 |
| Euler totient φ(n) | 24192 |
| Square | 3613933456 |
| Cube | 217255223640896 |
| Square root | 245.185644 (= 2√15029) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 91 |
| Scientific notation | 6.0116 × |
60116 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and sixteen |
| Binary (base 2) | 1110101011010100 |
| Octal (base 8) | 165324 |
| Hexadecimal (base 16) | EAD4 |
| Base 3 | 10001110112 |
| As time | 60116 seconds = 16 h 41 min 56 s |
Is 60116 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60116 ÷ 2 = 30058) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60116 ÷ 4 = 15029) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (60116 ÷ 7 = 8588) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60116 a prime number?
No. 60116 = × 7 × 19 × 113, so it is divisible by 2.
What are the factors of 60116?
1, 2, 4, 7, 14, 19, 28, 38, 76, 113, 133, 226, 266, 452, 532, 791, 1582, 2147, 3164, 4294, 8588, 15029, 30058, 60116.
What is 60116 in binary?
1110101011010100 (hexadecimal EAD4, octal 165324).
What is the square root of 60116?
About 245.1856, exactly 2√15029.
Is 60116 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 60116?
60116 is a Harshad number: divisible by its digit sum 14.