The number 67140
67140 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 373. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 67140.
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How to work it out
- 1
What is special about 67140: a Harshad number: divisible by its digit sum 18.
- 2
67140 is composite. Its prime factorisation is
- 3
The divisors add up to 204204; without 67140 itself that is 137064, so 67140 is abundant (137064 is more than 67140). Euler's totient φ(67140) = 17856 numbers up to 67140 share no factor with it.
- 4
The digits of 67140 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67140 = 2^{2} \times 3^{2} \times 5 \times 373 \]67140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 204204 |
| Euler totient φ(n) | 17856 |
| Square | 4507779600 |
| Cube | 302652322344000 |
| Square root | 259.113875 (= 6√1865) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.714 × |
67140 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and forty |
| Binary (base 2) | 10000011001000100 |
| Octal (base 8) | 203104 |
| Hexadecimal (base 16) | 10644 |
| Base 3 | 10102002200 |
| As time | 67140 seconds = 18 h 39 min 0 s |
Is 67140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67140 ÷ 2 = 33570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67140 ÷ 3 = 22380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67140 ÷ 4 = 16785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67140 ÷ 5 = 13428) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67140 ÷ 6 = 11190) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67140 ÷ 9 = 7460) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67140 ÷ 10 = 6714) | 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 (67140 ÷ 12 = 5595) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67140 a prime number?
No. 67140 = × × 5 × 373, so it is divisible by 2.
What are the factors of 67140?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 373, 746, 1119, 1492, 1865, 2238, 3357, 3730, 4476, 5595, 6714, 7460, 11190, 13428, 16785, 22380, 33570, 67140.
What is 67140 in binary?
10000011001000100 (hexadecimal 10644, octal 203104).
What is the square root of 67140?
About 259.1139, exactly 6√1865.
Is 67140 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67140?
67140 is a Harshad number: divisible by its digit sum 18.