The number 11880
11880 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 11. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24 … 11880.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11880: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
11880 is composite. Its prime factorisation is
- 3
The divisors add up to 43200; without 11880 itself that is 31320, so 11880 is abundant (31320 is more than 11880). Euler's totient φ(11880) = 2880 numbers up to 11880 share no factor with it.
- 4
The digits of 11880 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11880 = 2^{3} \times 3^{3} \times 5 \times 11 \]11880 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 43200 |
| Euler totient φ(n) | 2880 |
| Square | 141134400 |
| Cube | 1676676672000 |
| Square root | 108.995413 (= 6√330) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 1.188 × |
11880 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand eight hundred and eighty |
| Binary (base 2) | 10111001101000 |
| Octal (base 8) | 27150 |
| Hexadecimal (base 16) | 2E68 |
| Base 3 | 121022000 |
| As time | 11880 seconds = 3 h 18 min 0 s |
Is 11880 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11880 ÷ 2 = 5940) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11880 ÷ 3 = 3960) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11880 ÷ 4 = 2970) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11880 ÷ 5 = 2376) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11880 ÷ 6 = 1980) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (11880 ÷ 8 = 1485) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (11880 ÷ 9 = 1320) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11880 ÷ 10 = 1188) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11880 ÷ 11 = 1080) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11880 ÷ 12 = 990) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11880 a prime number?
No. 11880 = × × 5 × 11, so it is divisible by 2.
What are the factors of 11880?
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 54, 55, 60, 66, 72, 88, 90, 99, 108, 110, 120, 132, 135, 165, 180, 198, 216, 220, 264, 270, 297, 330, 360, 396, 440, 495, 540, 594, 660, 792, 990, 1080, 1188, 1320, 1485, 1980, 2376, 2970, 3960, 5940, 11880.
What is 11880 in binary?
10111001101000 (hexadecimal 2E68, octal 27150).
What is the square root of 11880?
About 108.9954, exactly 6√330.
Is 11880 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11880?
11880 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.