The number 60540
60540 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1009. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036 … 60540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 60540: a Harshad number: divisible by its digit sum 15.
- 2
60540 is composite. Its prime factorisation is
- 3
The divisors add up to 169680; without 60540 itself that is 109140, so 60540 is abundant (109140 is more than 60540). Euler's totient φ(60540) = 16128 numbers up to 60540 share no factor with it.
- 4
The digits of 60540 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 104 steps to reach 1.
LaTeX source of the formulas on this page
\[ 60540 = 2^{2} \times 3 \times 5 \times 1009 \]60540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 169680 |
| Euler totient φ(n) | 16128 |
| Square | 3665091600 |
| Cube | 221884645464000 |
| Square root | 246.048776 (= 2√15135) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 104 |
| Scientific notation | 6.054 × |
60540 in other forms
| Form | Value |
|---|---|
| In words | sixty thousand five hundred and forty |
| Binary (base 2) | 1110110001111100 |
| Octal (base 8) | 166174 |
| Hexadecimal (base 16) | EC7C |
| Base 3 | 10002001020 |
| As time | 60540 seconds = 16 h 49 min 0 s |
Is 60540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (60540 ÷ 2 = 30270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (60540 ÷ 3 = 20180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (60540 ÷ 4 = 15135) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (60540 ÷ 5 = 12108) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (60540 ÷ 6 = 10090) | 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 | No (remainder 4) | 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 (60540 ÷ 10 = 6054) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (60540 ÷ 12 = 5045) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 60540 a prime number?
No. 60540 = × 3 × 5 × 1009, so it is divisible by 2.
What are the factors of 60540?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1009, 2018, 3027, 4036, 5045, 6054, 10090, 12108, 15135, 20180, 30270, 60540.
What is 60540 in binary?
1110110001111100 (hexadecimal EC7C, octal 166174).
What is the square root of 60540?
About 246.0488, exactly 2√15135.
Is 60540 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 60540?
60540 is a Harshad number: divisible by its digit sum 15.