The number 60120
60120 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 167. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 60120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60120: a Harshad number: divisible by its digit sum 9.
- 2
60120 is composite. Its prime factorisation is
- 3
The divisors add up to 196560; without 60120 itself that is 136440, so 60120 is abundant (136440 is more than 60120). Euler's totient φ(60120) = 15936 numbers up to 60120 share no factor with it.
- 4
The digits of 60120 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 210 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60120 = 2^{3} \times 3^{2} \times 5 \times 167 \]60120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 196560 |
| Euler totient φ(n) | 15936 |
| Square | 3614414400 |
| Cube | 217298593728000 |
| Square root | 245.193801 (= 6√1670) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 210 |
| Scientific notation | 6.012 × |
60120 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand one hundred and twenty |
| Binary (base 2) | 1110101011011000 |
| Octal (base 8) | 165330 |
| Hexadecimal (base 16) | EAD8 |
| Base 3 | 10001110200 |
| As time | 60120 seconds = 16 h 42 min 0 s |
Is 60120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60120 ÷ 2 = 30060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60120 ÷ 3 = 20040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60120 ÷ 4 = 15030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60120 ÷ 5 = 12024) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60120 ÷ 6 = 10020) | 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 (60120 ÷ 8 = 7515) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (60120 ÷ 9 = 6680) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60120 ÷ 10 = 6012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60120 ÷ 12 = 5010) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60120 a prime number?
No. 60120 = × × 5 × 167, so it is divisible by 2.
What are the factors of 60120?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 167, 180, 334, 360, 501, 668, 835, 1002, 1336, 1503, 1670, 2004, 2505, 3006, 3340, 4008, 5010, 6012, 6680, 7515, 10020, 12024, 15030, 20040, 30060, 60120.
What is 60120 in binary?
1110101011011000 (hexadecimal EAD8, octal 165330).
What is the square root of 60120?
About 245.1938, exactly 6√1670.
Is 60120 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 60120?
60120 is a Harshad number: divisible by its digit sum 9.