The number 20960
20960 is a composite number with 24 divisors. Its prime factorisation is × 5 × 131. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 131, 160, 262, 524, 655 … 20960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20960 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20960 is composite. Its prime factorisation is
- 3
The divisors add up to 49896; without 20960 itself that is 28936, so 20960 is abundant (28936 is more than 20960). Euler's totient φ(20960) = 8320 numbers up to 20960 share no factor with it.
- 4
The digits of 20960 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20960 = 2^{5} \times 5 \times 131 \]20960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 49896 |
| Euler totient φ(n) | 8320 |
| Square | 439321600 |
| Cube | 9208180736000 |
| Square root | 144.775689 (= 4√1310) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.096 × |
20960 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand nine hundred and sixty |
| Binary (base 2) | 101000111100000 |
| Octal (base 8) | 50740 |
| Hexadecimal (base 16) | 51E0 |
| Base 3 | 1001202022 |
| As time | 20960 seconds = 5 h 49 min 20 s |
Is 20960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20960 ÷ 2 = 10480) | 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 (20960 ÷ 4 = 5240) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20960 ÷ 5 = 4192) | 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 | No (remainder 2) | 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 (20960 ÷ 8 = 2620) | 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 (20960 ÷ 10 = 2096) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 20960 a prime number?
No. 20960 = × 5 × 131, so it is divisible by 2.
What are the factors of 20960?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 131, 160, 262, 524, 655, 1048, 1310, 2096, 2620, 4192, 5240, 10480, 20960.
What is 20960 in binary?
101000111100000 (hexadecimal 51E0, octal 50740).
What is the square root of 20960?
About 144.7757, exactly 4√1310.
Is 20960 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 20960?
It is a composite number with 24 divisors.