The number 50160
50160 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 11 × 19. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 19, 20, 22, 24 … 50160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50160: a Harshad number: divisible by its digit sum 12.
- 2
50160 is composite. Its prime factorisation is
- 3
The divisors add up to 178560; without 50160 itself that is 128400, so 50160 is abundant (128400 is more than 50160). Euler's totient φ(50160) = 11520 numbers up to 50160 share no factor with it.
- 4
The digits of 50160 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 65 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50160 = 2^{4} \times 3 \times 5 \times 11 \times 19 \]50160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 178560 |
| Euler totient φ(n) | 11520 |
| Square | 2516025600 |
| Cube | 126203844096000 |
| Square root | 223.964283 (= 4√3135) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 65 |
| Scientific notation | 5.016 × |
50160 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and sixty |
| Binary (base 2) | 1100001111110000 |
| Octal (base 8) | 141760 |
| Hexadecimal (base 16) | C3F0 |
| Base 3 | 2112210210 |
| As time | 50160 seconds = 13 h 56 min 0 s |
Is 50160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50160 ÷ 2 = 25080) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (50160 ÷ 3 = 16720) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50160 ÷ 4 = 12540) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50160 ÷ 5 = 10032) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (50160 ÷ 6 = 8360) | 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 | Yes (50160 ÷ 8 = 6270) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50160 ÷ 10 = 5016) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (50160 ÷ 11 = 4560) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (50160 ÷ 12 = 4180) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50160 a prime number?
No. 50160 = × 3 × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 50160?
1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 16, 19, 20, 22, 24, 30, 33, 38, 40, 44, 48, 55, 57, 60, 66, 76, 80, 88, 95, 110, 114, 120, 132, 152, 165, 176, 190, 209, 220, 228, 240, 264, 285, 304, 330, 380, 418, 440, 456, 528, 570, 627, 660, 760, 836, 880, 912, 1045, 1140, 1254, 1320, 1520, 1672, 2090, 2280, 2508, 2640, 3135, 3344, 4180, 4560, 5016, 6270, 8360, 10032, 12540, 16720, 25080, 50160.
What is 50160 in binary?
1100001111110000 (hexadecimal C3F0, octal 141760).
What is the square root of 50160?
About 223.9643, exactly 4√3135.
Is 50160 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 50160?
50160 is a Harshad number: divisible by its digit sum 12.