The number 11200
11200 is a composite number with 42 divisors. Its prime factorisation is × × 7. Divisors (42): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50 … 11200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11200: a Harshad number: divisible by its digit sum 4.
- 2
11200 is composite. Its prime factorisation is
- 3
The divisors add up to 31496; without 11200 itself that is 20296, so 11200 is abundant (20296 is more than 11200). Euler's totient φ(11200) = 3840 numbers up to 11200 share no factor with it.
- 4
The digits of 11200 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 86 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11200 = 2^{6} \times 5^{2} \times 7 \]11200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 42 |
| Sum of divisors | 31496 |
| Euler totient φ(n) | 3840 |
| Square | 125440000 |
| Cube | 1404928000000 |
| Square root | 105.830052 (= 40√7) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 86 |
| Scientific notation | 1.12 × |
11200 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand two hundred |
| Binary (base 2) | 10101111000000 |
| Octal (base 8) | 25700 |
| Hexadecimal (base 16) | 2BC0 |
| Base 3 | 120100211 |
| As time | 11200 seconds = 3 h 6 min 40 s |
Is 11200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11200 ÷ 2 = 5600) | 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 (11200 ÷ 4 = 2800) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11200 ÷ 5 = 2240) | 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 | Yes (11200 ÷ 7 = 1600) | 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 (11200 ÷ 8 = 1400) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11200 ÷ 10 = 1120) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 11200 a prime number?
No. 11200 = × × 7, so it is divisible by 2.
What are the factors of 11200?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 25, 28, 32, 35, 40, 50, 56, 64, 70, 80, 100, 112, 140, 160, 175, 200, 224, 280, 320, 350, 400, 448, 560, 700, 800, 1120, 1400, 1600, 2240, 2800, 5600, 11200.
What is 11200 in binary?
10101111000000 (hexadecimal 2BC0, octal 25700).
What is the square root of 11200?
About 105.8301, exactly 40√7.
Is 11200 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 11200?
11200 is a Harshad number: divisible by its digit sum 4.