The number 60360
60360 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 503. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 60360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60360: a Harshad number: divisible by its digit sum 15.
- 2
60360 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 60360 itself that is 121080, so 60360 is abundant (121080 is more than 60360). Euler's totient φ(60360) = 16064 numbers up to 60360 share no factor with it.
- 4
The digits of 60360 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 73 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60360 = 2^{3} \times 3 \times 5 \times 503 \]60360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 16064 |
| Square | 3643329600 |
| Cube | 219911374656000 |
| Square root | 245.682722 (= 2√15090) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 73 |
| Scientific notation | 6.036 × |
60360 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand three hundred and sixty |
| Binary (base 2) | 1110101111001000 |
| Octal (base 8) | 165710 |
| Hexadecimal (base 16) | EBC8 |
| Base 3 | 10001210120 |
| As time | 60360 seconds = 16 h 46 min 0 s |
Is 60360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60360 ÷ 2 = 30180) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60360 ÷ 3 = 20120) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60360 ÷ 4 = 15090) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60360 ÷ 5 = 12072) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60360 ÷ 6 = 10060) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (60360 ÷ 8 = 7545) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (60360 ÷ 10 = 6036) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60360 ÷ 12 = 5030) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60360 a prime number?
No. 60360 = × 3 × 5 × 503, so it is divisible by 2.
What are the factors of 60360?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 503, 1006, 1509, 2012, 2515, 3018, 4024, 5030, 6036, 7545, 10060, 12072, 15090, 20120, 30180, 60360.
What is 60360 in binary?
1110101111001000 (hexadecimal EBC8, octal 165710).
What is the square root of 60360?
About 245.6827, exactly 2√15090.
Is 60360 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60360?
60360 is a Harshad number: divisible by its digit sum 15.