The number 80160
80160 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 167. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 80160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 80160: a Harshad number: divisible by its digit sum 15.
- 2
80160 is composite. Its prime factorisation is
- 3
The divisors add up to 254016; without 80160 itself that is 173856, so 80160 is abundant (173856 is more than 80160). Euler's totient φ(80160) = 21248 numbers up to 80160 share no factor with it.
- 4
The digits of 80160 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80160 = 2^{5} \times 3 \times 5 \times 167 \]80160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 254016 |
| Euler totient φ(n) | 21248 |
| Square | 6425625600 |
| Cube | 515078148096000 |
| Square root | 283.125414 (= 4√5010) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 94 |
| Scientific notation | 8.016 × |
80160 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and sixty |
| Binary (base 2) | 10011100100100000 |
| Octal (base 8) | 234440 |
| Hexadecimal (base 16) | 13920 |
| Base 3 | 11001221220 |
| As time | 80160 seconds = 22 h 16 min 0 s |
Is 80160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80160 ÷ 2 = 40080) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (80160 ÷ 3 = 26720) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (80160 ÷ 4 = 20040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80160 ÷ 5 = 16032) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (80160 ÷ 6 = 13360) | 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 | Yes (80160 ÷ 8 = 10020) | 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 (80160 ÷ 10 = 8016) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (80160 ÷ 12 = 6680) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 80160 a prime number?
No. 80160 = × 3 × 5 × 167, so it is divisible by 2.
What are the factors of 80160?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 167, 240, 334, 480, 501, 668, 835, 1002, 1336, 1670, 2004, 2505, 2672, 3340, 4008, 5010, 5344, 6680, 8016, 10020, 13360, 16032, 20040, 26720, 40080, 80160.
What is 80160 in binary?
10011100100100000 (hexadecimal 13920, octal 234440).
What is the square root of 80160?
About 283.1254, exactly 4√5010.
Is 80160 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 80160?
80160 is a Harshad number: divisible by its digit sum 15.