The number 11920
11920 is a composite number with 20 divisors. Its prime factorisation is × 5 × 149. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 149, 298, 596, 745, 1192, 1490 … 11920.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
11920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
11920 is composite. Its prime factorisation is
- 3
The divisors add up to 27900; without 11920 itself that is 15980, so 11920 is abundant (15980 is more than 11920). Euler's totient φ(11920) = 4736 numbers up to 11920 share no factor with it.
- 4
The digits of 11920 add up to 13, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 94 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11920 = 2^{4} \times 5 \times 149 \]11920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 27900 |
| Euler totient φ(n) | 4736 |
| Square | 142086400 |
| Cube | 1693669888000 |
| Square root | 109.178753 (= 4√745) |
| Digit sum / digital root | 13 / 4 |
| Collatz steps to 1 | 94 |
| Scientific notation | 1.192 × |
11920 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and twenty |
| Binary (base 2) | 10111010010000 |
| Octal (base 8) | 27220 |
| Hexadecimal (base 16) | 2E90 |
| Base 3 | 121100111 |
| As time | 11920 seconds = 3 h 18 min 40 s |
Is 11920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11920 ÷ 2 = 5960) | 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 (11920 ÷ 4 = 2980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11920 ÷ 5 = 2384) | 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 6) | 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 (11920 ÷ 8 = 1490) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11920 ÷ 10 = 1192) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 11920 a prime number?
No. 11920 = × 5 × 149, so it is divisible by 2.
What are the factors of 11920?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 149, 298, 596, 745, 1192, 1490, 2384, 2980, 5960, 11920.
What is 11920 in binary?
10111010010000 (hexadecimal 2E90, octal 27220).
What is the square root of 11920?
About 109.1788, exactly 4√745.
Is 11920 divisible by 3?
No. Its digits add up to 13, which is not a multiple of 3.
What is special about the number 11920?
It is a composite number with 20 divisors.