The number 10960
10960 is a composite number with 20 divisors. Its prime factorisation is × 5 × 137. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 137, 274, 548, 685, 1096, 1370 … 10960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10960: a Harshad number: divisible by its digit sum 16.
- 2
10960 is composite. Its prime factorisation is
- 3
The divisors add up to 25668; without 10960 itself that is 14708, so 10960 is abundant (14708 is more than 10960). Euler's totient φ(10960) = 4352 numbers up to 10960 share no factor with it.
- 4
The digits of 10960 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 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10960 = 2^{4} \times 5 \times 137 \]10960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 25668 |
| Euler totient φ(n) | 4352 |
| Square | 120121600 |
| Cube | 1316532736000 |
| Square root | 104.690019 (= 4√685) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.096 × |
10960 in other forms
| Form | Value |
|---|---|
| In words | ten thousand nine hundred and sixty |
| Binary (base 2) | 10101011010000 |
| Octal (base 8) | 25320 |
| Hexadecimal (base 16) | 2AD0 |
| Base 3 | 120000221 |
| As time | 10960 seconds = 3 h 2 min 40 s |
Is 10960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10960 ÷ 2 = 5480) | 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 (10960 ÷ 4 = 2740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10960 ÷ 5 = 2192) | 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 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 (10960 ÷ 8 = 1370) | 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 (10960 ÷ 10 = 1096) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10960 a prime number?
No. 10960 = × 5 × 137, so it is divisible by 2.
What are the factors of 10960?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 137, 274, 548, 685, 1096, 1370, 2192, 2740, 5480, 10960.
What is 10960 in binary?
10101011010000 (hexadecimal 2AD0, octal 25320).
What is the square root of 10960?
About 104.6900, exactly 4√685.
Is 10960 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 10960?
10960 is a Harshad number: divisible by its digit sum 16.