The number 11400
11400 is a composite number with 48 divisors. Its prime factorisation is × 3 × × 19. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38 … 11400.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11400: a Harshad number: divisible by its digit sum 6.
- 2
11400 is composite. Its prime factorisation is
- 3
The divisors add up to 37200; without 11400 itself that is 25800, so 11400 is abundant (25800 is more than 11400). Euler's totient φ(11400) = 2880 numbers up to 11400 share no factor with it.
- 4
The digits of 11400 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 29 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11400 = 2^{3} \times 3 \times 5^{2} \times 19 \]11400 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 37200 |
| Euler totient φ(n) | 2880 |
| Square | 129960000 |
| Cube | 1481544000000 |
| Square root | 106.770783 (= 10√114) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 29 |
| Scientific notation | 1.14 × |
11400 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand four hundred |
| Binary (base 2) | 10110010001000 |
| Octal (base 8) | 26210 |
| Hexadecimal (base 16) | 2C88 |
| Base 3 | 120122020 |
| As time | 11400 seconds = 3 h 10 min 0 s |
Is 11400 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11400 ÷ 2 = 5700) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11400 ÷ 3 = 3800) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (11400 ÷ 4 = 2850) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11400 ÷ 5 = 2280) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11400 ÷ 6 = 1900) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (11400 ÷ 8 = 1425) | 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 (11400 ÷ 10 = 1140) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (11400 ÷ 12 = 950) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11400 a prime number?
No. 11400 = × 3 × × 19, so it is divisible by 2.
What are the factors of 11400?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 19, 20, 24, 25, 30, 38, 40, 50, 57, 60, 75, 76, 95, 100, 114, 120, 150, 152, 190, 200, 228, 285, 300, 380, 456, 475, 570, 600, 760, 950, 1140, 1425, 1900, 2280, 2850, 3800, 5700, 11400.
What is 11400 in binary?
10110010001000 (hexadecimal 2C88, octal 26210).
What is the square root of 11400?
About 106.7708, exactly 10√114.
Is 11400 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 11400?
11400 is a Harshad number: divisible by its digit sum 6.