The number 67380
67380 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1123. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492 … 67380.
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How to work it out
- 1
67380 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67380 is composite. Its prime factorisation is
- 3
The divisors add up to 188832; without 67380 itself that is 121452, so 67380 is abundant (121452 is more than 67380). Euler's totient φ(67380) = 17952 numbers up to 67380 share no factor with it.
- 4
The digits of 67380 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67380 = 2^{2} \times 3 \times 5 \times 1123 \]67380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 188832 |
| Euler totient φ(n) | 17952 |
| Square | 4540064400 |
| Cube | 305909539272000 |
| Square root | 259.576578 (= 2√16845) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.738 × |
67380 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and eighty |
| Binary (base 2) | 10000011100110100 |
| Octal (base 8) | 203464 |
| Hexadecimal (base 16) | 10734 |
| Base 3 | 10102102120 |
| As time | 67380 seconds = 18 h 43 min 0 s |
Is 67380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67380 ÷ 2 = 33690) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67380 ÷ 3 = 22460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67380 ÷ 4 = 16845) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67380 ÷ 5 = 13476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67380 ÷ 6 = 11230) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 (67380 ÷ 10 = 6738) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (67380 ÷ 12 = 5615) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67380 a prime number?
No. 67380 = × 3 × 5 × 1123, so it is divisible by 2.
What are the factors of 67380?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1123, 2246, 3369, 4492, 5615, 6738, 11230, 13476, 16845, 22460, 33690, 67380.
What is 67380 in binary?
10000011100110100 (hexadecimal 10734, octal 203464).
What is the square root of 67380?
About 259.5766, exactly 2√16845.
Is 67380 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 67380?
It is a composite number with 24 divisors.