The number 50120
50120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 179. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 179 … 50120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50120: a Harshad number: divisible by its digit sum 8.
- 2
50120 is composite. Its prime factorisation is
- 3
The divisors add up to 129600; without 50120 itself that is 79480, so 50120 is abundant (79480 is more than 50120). Euler's totient φ(50120) = 17088 numbers up to 50120 share no factor with it.
- 4
The digits of 50120 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 88 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50120 = 2^{3} \times 5 \times 7 \times 179 \]50120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 129600 |
| Euler totient φ(n) | 17088 |
| Square | 2512014400 |
| Cube | 125902161728000 |
| Square root | 223.874965 (= 2√12530) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 88 |
| Scientific notation | 5.012 × |
50120 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand one hundred and twenty |
| Binary (base 2) | 1100001111001000 |
| Octal (base 8) | 141710 |
| Hexadecimal (base 16) | C3C8 |
| Base 3 | 2112202022 |
| As time | 50120 seconds = 13 h 55 min 20 s |
Is 50120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50120 ÷ 2 = 25060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (50120 ÷ 4 = 12530) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50120 ÷ 5 = 10024) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (50120 ÷ 7 = 7160) | 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 (50120 ÷ 8 = 6265) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50120 ÷ 10 = 5012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 50120 a prime number?
No. 50120 = × 5 × 7 × 179, so it is divisible by 2.
What are the factors of 50120?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 179, 280, 358, 716, 895, 1253, 1432, 1790, 2506, 3580, 5012, 6265, 7160, 10024, 12530, 25060, 50120.
What is 50120 in binary?
1100001111001000 (hexadecimal C3C8, octal 141710).
What is the square root of 50120?
About 223.8750, exactly 2√12530.
Is 50120 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 50120?
50120 is a Harshad number: divisible by its digit sum 8.