The number 11240
11240 is a composite number with 16 divisors. Its prime factorisation is × 5 × 281. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 281, 562, 1124, 1405, 2248, 2810, 5620, 11240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11240: a Harshad number: divisible by its digit sum 8.
- 2
11240 is composite. Its prime factorisation is
- 3
The divisors add up to 25380; without 11240 itself that is 14140, so 11240 is abundant (14140 is more than 11240). Euler's totient φ(11240) = 4480 numbers up to 11240 share no factor with it.
- 4
The digits of 11240 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11240 = 2^{3} \times 5 \times 281 \]11240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 25380 |
| Euler totient φ(n) | 4480 |
| Square | 126337600 |
| Cube | 1420034624000 |
| Square root | 106.018866 (= 2√2810) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.124 × |
11240 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred and forty |
| Binary (base 2) | 10101111101000 |
| Octal (base 8) | 25750 |
| Hexadecimal (base 16) | 2BE8 |
| Base 3 | 120102022 |
| As time | 11240 seconds = 3 h 7 min 20 s |
Is 11240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11240 ÷ 2 = 5620) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11240 ÷ 4 = 2810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11240 ÷ 5 = 2248) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 | Yes (11240 ÷ 8 = 1405) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11240 ÷ 10 = 1124) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11240 a prime number?
No. 11240 = × 5 × 281, so it is divisible by 2.
What are the factors of 11240?
1, 2, 4, 5, 8, 10, 20, 40, 281, 562, 1124, 1405, 2248, 2810, 5620, 11240.
What is 11240 in binary?
10101111101000 (hexadecimal 2BE8, octal 25750).
What is the square root of 11240?
About 106.0189, exactly 2√2810.
Is 11240 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 11240?
11240 is a Harshad number: divisible by its digit sum 8.