The number 11940
11940 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 199. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 199, 398, 597, 796 … 11940.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11940: a Harshad number: divisible by its digit sum 15.
- 2
11940 is composite. Its prime factorisation is
- 3
The divisors add up to 33600; without 11940 itself that is 21660, so 11940 is abundant (21660 is more than 11940). Euler's totient φ(11940) = 3168 numbers up to 11940 share no factor with it.
- 4
The digits of 11940 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11940 = 2^{2} \times 3 \times 5 \times 199 \]11940 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 33600 |
| Euler totient φ(n) | 3168 |
| Square | 142563600 |
| Cube | 1702209384000 |
| Square root | 109.270307 (= 2√2985) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 143 |
| Scientific notation | 1.194 × |
11940 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand nine hundred and forty |
| Binary (base 2) | 10111010100100 |
| Octal (base 8) | 27244 |
| Hexadecimal (base 16) | 2EA4 |
| Base 3 | 121101020 |
| As time | 11940 seconds = 3 h 19 min 0 s |
Is 11940 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11940 ÷ 2 = 5970) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11940 ÷ 3 = 3980) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11940 ÷ 4 = 2985) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11940 ÷ 5 = 2388) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11940 ÷ 6 = 1990) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11940 ÷ 10 = 1194) | 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 | Yes (11940 ÷ 12 = 995) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11940 a prime number?
No. 11940 = × 3 × 5 × 199, so it is divisible by 2.
What are the factors of 11940?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 199, 398, 597, 796, 995, 1194, 1990, 2388, 2985, 3980, 5970, 11940.
What is 11940 in binary?
10111010100100 (hexadecimal 2EA4, octal 27244).
What is the square root of 11940?
About 109.2703, exactly 2√2985.
Is 11940 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 11940?
11940 is a Harshad number: divisible by its digit sum 15.