The number 67740
67740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1129. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1129, 2258, 3387, 4516 … 67740.
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How to work it out
- 1
67740 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67740 is composite. Its prime factorisation is
- 3
The divisors add up to 189840; without 67740 itself that is 122100, so 67740 is abundant (122100 is more than 67740). Euler's totient φ(67740) = 18048 numbers up to 67740 share no factor with it.
- 4
The digits of 67740 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 42 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67740 = 2^{2} \times 3 \times 5 \times 1129 \]67740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 189840 |
| Euler totient φ(n) | 18048 |
| Square | 4588707600 |
| Cube | 310839052824000 |
| Square root | 260.269092 (= 2√16935) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 42 |
| Scientific notation | 6.774 × |
67740 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and forty |
| Binary (base 2) | 10000100010011100 |
| Octal (base 8) | 204234 |
| Hexadecimal (base 16) | 1089C |
| Base 3 | 10102220220 |
| As time | 67740 seconds = 18 h 49 min 0 s |
Is 67740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67740 ÷ 2 = 33870) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67740 ÷ 3 = 22580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67740 ÷ 4 = 16935) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67740 ÷ 5 = 13548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67740 ÷ 6 = 11290) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (67740 ÷ 10 = 6774) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67740 ÷ 12 = 5645) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67740 a prime number?
No. 67740 = × 3 × 5 × 1129, so it is divisible by 2.
What are the factors of 67740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1129, 2258, 3387, 4516, 5645, 6774, 11290, 13548, 16935, 22580, 33870, 67740.
What is 67740 in binary?
10000100010011100 (hexadecimal 1089C, octal 204234).
What is the square root of 67740?
About 260.2691, exactly 2√16935.
Is 67740 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67740?
It is a composite number with 24 divisors.