The number 11040
11040 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 23. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32 … 11040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11040: a Harshad number: divisible by its digit sum 6.
- 2
11040 is composite. Its prime factorisation is
- 3
The divisors add up to 36288; without 11040 itself that is 25248, so 11040 is abundant (25248 is more than 11040). Euler's totient φ(11040) = 2816 numbers up to 11040 share no factor with it.
- 4
The digits of 11040 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11040 = 2^{5} \times 3 \times 5 \times 23 \]11040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 36288 |
| Euler totient φ(n) | 2816 |
| Square | 121881600 |
| Cube | 1345572864000 |
| Square root | 105.071404 (= 4√690) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.104 × |
11040 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand and forty |
| Binary (base 2) | 10101100100000 |
| Octal (base 8) | 25440 |
| Hexadecimal (base 16) | 2B20 |
| Base 3 | 120010220 |
| As time | 11040 seconds = 3 h 4 min 0 s |
Is 11040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11040 ÷ 2 = 5520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11040 ÷ 3 = 3680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11040 ÷ 4 = 2760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11040 ÷ 5 = 2208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11040 ÷ 6 = 1840) | 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 (11040 ÷ 8 = 1380) | 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 (11040 ÷ 10 = 1104) | 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 | Yes (11040 ÷ 12 = 920) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11040 a prime number?
No. 11040 = × 3 × 5 × 23, so it is divisible by 2.
What are the factors of 11040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 23, 24, 30, 32, 40, 46, 48, 60, 69, 80, 92, 96, 115, 120, 138, 160, 184, 230, 240, 276, 345, 368, 460, 480, 552, 690, 736, 920, 1104, 1380, 1840, 2208, 2760, 3680, 5520, 11040.
What is 11040 in binary?
10101100100000 (hexadecimal 2B20, octal 25440).
What is the square root of 11040?
About 105.0714, exactly 4√690.
Is 11040 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11040?
11040 is a Harshad number: divisible by its digit sum 6.