The number 50960
50960 is a composite number with 60 divisors. Its prime factorisation is × 5 × × 13. Divisors (60): 1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 49 … 50960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 50960: a Harshad number: divisible by its digit sum 20.
- 2
50960 is composite. Its prime factorisation is
- 3
The divisors add up to 148428; without 50960 itself that is 97468, so 50960 is abundant (97468 is more than 50960). Euler's totient φ(50960) = 16128 numbers up to 50960 share no factor with it.
- 4
The digits of 50960 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 34 steps to reach 1.
LaTeX source of the formulas on this page
\[ 50960 = 2^{4} \times 5 \times 7^{2} \times 13 \]50960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 148428 |
| Euler totient φ(n) | 16128 |
| Square | 2596921600 |
| Cube | 132339124736000 |
| Square root | 225.743217 (= 28√65) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 34 |
| Scientific notation | 5.096 × |
50960 in other forms
| Form | Value |
|---|---|
| In words | fifty thousand nine hundred and sixty |
| Binary (base 2) | 1100011100010000 |
| Octal (base 8) | 143420 |
| Hexadecimal (base 16) | C710 |
| Base 3 | 2120220102 |
| As time | 50960 seconds = 14 h 9 min 20 s |
Is 50960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (50960 ÷ 2 = 25480) | 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 (50960 ÷ 4 = 12740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (50960 ÷ 5 = 10192) | 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 (50960 ÷ 7 = 7280) | 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 (50960 ÷ 8 = 6370) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (50960 ÷ 10 = 5096) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 50960 a prime number?
No. 50960 = × 5 × × 13, so it is divisible by 2.
What are the factors of 50960?
1, 2, 4, 5, 7, 8, 10, 13, 14, 16, 20, 26, 28, 35, 40, 49, 52, 56, 65, 70, 80, 91, 98, 104, 112, 130, 140, 182, 196, 208, 245, 260, 280, 364, 392, 455, 490, 520, 560, 637, 728, 784, 910, 980, 1040, 1274, 1456, 1820, 1960, 2548, 3185, 3640, 3920, 5096, 6370, 7280, 10192, 12740, 25480, 50960.
What is 50960 in binary?
1100011100010000 (hexadecimal C710, octal 143420).
What is the square root of 50960?
About 225.7432, exactly 28√65.
Is 50960 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 50960?
50960 is a Harshad number: divisible by its digit sum 20.