The number 67560
67560 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 563. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 67560.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67560: a Harshad number: divisible by its digit sum 24.
- 2
67560 is composite. Its prime factorisation is
- 3
The divisors add up to 203040; without 67560 itself that is 135480, so 67560 is abundant (135480 is more than 67560). Euler's totient φ(67560) = 17984 numbers up to 67560 share no factor with it.
- 4
The digits of 67560 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67560 = 2^{3} \times 3 \times 5 \times 563 \]67560 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 203040 |
| Euler totient φ(n) | 17984 |
| Square | 4564353600 |
| Cube | 308367729216000 |
| Square root | 259.923066 (= 2√16890) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.756 × |
67560 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and sixty |
| Binary (base 2) | 10000011111101000 |
| Octal (base 8) | 203750 |
| Hexadecimal (base 16) | 107E8 |
| Base 3 | 10102200020 |
| As time | 67560 seconds = 18 h 46 min 0 s |
Is 67560 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67560 ÷ 2 = 33780) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67560 ÷ 3 = 22520) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67560 ÷ 4 = 16890) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67560 ÷ 5 = 13512) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67560 ÷ 6 = 11260) | 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 (67560 ÷ 8 = 8445) | 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 (67560 ÷ 10 = 6756) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67560 ÷ 12 = 5630) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67560 a prime number?
No. 67560 = × 3 × 5 × 563, so it is divisible by 2.
What are the factors of 67560?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 563, 1126, 1689, 2252, 2815, 3378, 4504, 5630, 6756, 8445, 11260, 13512, 16890, 22520, 33780, 67560.
What is 67560 in binary?
10000011111101000 (hexadecimal 107E8, octal 203750).
What is the square root of 67560?
About 259.9231, exactly 2√16890.
Is 67560 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67560?
67560 is a Harshad number: divisible by its digit sum 24.