The number 67120
67120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 839. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 839, 1678, 3356, 4195, 6712, 8390 … 67120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67120: a Harshad number: divisible by its digit sum 16.
- 2
67120 is composite. Its prime factorisation is
- 3
The divisors add up to 156240; without 67120 itself that is 89120, so 67120 is abundant (89120 is more than 67120). Euler's totient φ(67120) = 26816 numbers up to 67120 share no factor with it.
- 4
The digits of 67120 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67120 = 2^{4} \times 5 \times 839 \]67120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 156240 |
| Euler totient φ(n) | 26816 |
| Square | 4505094400 |
| Cube | 302381936128000 |
| Square root | 259.075279 (= 4√4195) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.712 × |
67120 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand one hundred and twenty |
| Binary (base 2) | 10000011000110000 |
| Octal (base 8) | 203060 |
| Hexadecimal (base 16) | 10630 |
| Base 3 | 10102001221 |
| As time | 67120 seconds = 18 h 38 min 40 s |
Is 67120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67120 ÷ 2 = 33560) | 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 (67120 ÷ 4 = 16780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67120 ÷ 5 = 13424) | 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 4) | 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 (67120 ÷ 8 = 8390) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67120 ÷ 10 = 6712) | 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 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67120 a prime number?
No. 67120 = × 5 × 839, so it is divisible by 2.
What are the factors of 67120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 839, 1678, 3356, 4195, 6712, 8390, 13424, 16780, 33560, 67120.
What is 67120 in binary?
10000011000110000 (hexadecimal 10630, octal 203060).
What is the square root of 67120?
About 259.0753, exactly 4√4195.
Is 67120 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 67120?
67120 is a Harshad number: divisible by its digit sum 16.