The number 11440
11440 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 13. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55 … 11440.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11440: a Harshad number: divisible by its digit sum 10.
- 2
11440 is composite. Its prime factorisation is
- 3
The divisors add up to 31248; without 11440 itself that is 19808, so 11440 is abundant (19808 is more than 11440). Euler's totient φ(11440) = 3840 numbers up to 11440 share no factor with it.
- 4
The digits of 11440 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11440 = 2^{4} \times 5 \times 11 \times 13 \]11440 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 31248 |
| Euler totient φ(n) | 3840 |
| Square | 130873600 |
| Cube | 1497193984000 |
| Square root | 106.957936 (= 4√715) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.144 × |
11440 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred and forty |
| Binary (base 2) | 10110010110000 |
| Octal (base 8) | 26260 |
| Hexadecimal (base 16) | 2CB0 |
| Base 3 | 120200201 |
| As time | 11440 seconds = 3 h 10 min 40 s |
Is 11440 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11440 ÷ 2 = 5720) | 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 (11440 ÷ 4 = 2860) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11440 ÷ 5 = 2288) | 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 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 (11440 ÷ 8 = 1430) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11440 ÷ 10 = 1144) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (11440 ÷ 11 = 1040) | 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 11440 a prime number?
No. 11440 = × 5 × 11 × 13, so it is divisible by 2.
What are the factors of 11440?
1, 2, 4, 5, 8, 10, 11, 13, 16, 20, 22, 26, 40, 44, 52, 55, 65, 80, 88, 104, 110, 130, 143, 176, 208, 220, 260, 286, 440, 520, 572, 715, 880, 1040, 1144, 1430, 2288, 2860, 5720, 11440.
What is 11440 in binary?
10110010110000 (hexadecimal 2CB0, octal 26260).
What is the square root of 11440?
About 106.9579, exactly 4√715.
Is 11440 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 11440?
11440 is a Harshad number: divisible by its digit sum 10.