The number 11340
11340 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 7. Divisors (60): 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27 … 11340.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11340: a Harshad number: divisible by its digit sum 9.
- 2
11340 is composite. Its prime factorisation is
- 3
The divisors add up to 40656; without 11340 itself that is 29316, so 11340 is abundant (29316 is more than 11340). Euler's totient φ(11340) = 2592 numbers up to 11340 share no factor with it.
- 4
The digits of 11340 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11340 = 2^{2} \times 3^{4} \times 5 \times 7 \]11340 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 40656 |
| Euler totient φ(n) | 2592 |
| Square | 128595600 |
| Cube | 1458274104000 |
| Square root | 106.489436 (= 18√35) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.134 × |
11340 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand three hundred and forty |
| Binary (base 2) | 10110001001100 |
| Octal (base 8) | 26114 |
| Hexadecimal (base 16) | 2C4C |
| Base 3 | 120120000 |
| As time | 11340 seconds = 3 h 9 min 0 s |
Is 11340 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11340 ÷ 2 = 5670) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11340 ÷ 3 = 3780) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11340 ÷ 4 = 2835) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11340 ÷ 5 = 2268) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11340 ÷ 6 = 1890) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (11340 ÷ 7 = 1620) | 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 | Yes (11340 ÷ 9 = 1260) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11340 ÷ 10 = 1134) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11340 ÷ 12 = 945) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11340 a prime number?
No. 11340 = × × 5 × 7, so it is divisible by 2.
What are the factors of 11340?
1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 27, 28, 30, 35, 36, 42, 45, 54, 60, 63, 70, 81, 84, 90, 105, 108, 126, 135, 140, 162, 180, 189, 210, 252, 270, 315, 324, 378, 405, 420, 540, 567, 630, 756, 810, 945, 1134, 1260, 1620, 1890, 2268, 2835, 3780, 5670, 11340.
What is 11340 in binary?
10110001001100 (hexadecimal 2C4C, octal 26114).
What is the square root of 11340?
About 106.4894, exactly 18√35.
Is 11340 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 11340?
11340 is a Harshad number: divisible by its digit sum 9.