The number 67360
67360 is a composite number with 24 divisors. Its prime factorisation is × 5 × 421. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 421, 842, 1684, 2105 … 67360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67360: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
67360 is composite. Its prime factorisation is
- 3
The divisors add up to 159516; without 67360 itself that is 92156, so 67360 is abundant (92156 is more than 67360). Euler's totient φ(67360) = 26880 numbers up to 67360 share no factor with it.
- 4
The digits of 67360 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67360 = 2^{5} \times 5 \times 421 \]67360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 159516 |
| Euler totient φ(n) | 26880 |
| Square | 4537369600 |
| Cube | 305637216256000 |
| Square root | 259.538051 (= 4√4210) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 130 |
| Scientific notation | 6.736 × |
67360 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand three hundred and sixty |
| Binary (base 2) | 10000011100100000 |
| Octal (base 8) | 203440 |
| Hexadecimal (base 16) | 10720 |
| Base 3 | 10102101211 |
| As time | 67360 seconds = 18 h 42 min 40 s |
Is 67360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67360 ÷ 2 = 33680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67360 ÷ 4 = 16840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67360 ÷ 5 = 13472) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (67360 ÷ 8 = 8420) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67360 ÷ 10 = 6736) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67360 a prime number?
No. 67360 = × 5 × 421, so it is divisible by 2.
What are the factors of 67360?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 421, 842, 1684, 2105, 3368, 4210, 6736, 8420, 13472, 16840, 33680, 67360.
What is 67360 in binary?
10000011100100000 (hexadecimal 10720, octal 203440).
What is the square root of 67360?
About 259.5381, exactly 4√4210.
Is 67360 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67360?
67360 is a happy number: repeatedly adding the squares of its digits reaches 1.