The number 11120
11120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 139. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 139, 278, 556, 695, 1112, 1390 … 11120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 11120: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.
- 2
11120 is composite. Its prime factorisation is
- 3
The divisors add up to 26040; without 11120 itself that is 14920, so 11120 is abundant (14920 is more than 11120). Euler's totient φ(11120) = 4416 numbers up to 11120 share no factor with it.
- 4
The digits of 11120 add up to 5, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 130 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11120 = 2^{4} \times 5 \times 139 \]11120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 26040 |
| Euler totient φ(n) | 4416 |
| Square | 123654400 |
| Cube | 1375036928000 |
| Square root | 105.451411 (= 4√695) |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 130 |
| Scientific notation | 1.112 × |
11120 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand one hundred and twenty |
| Binary (base 2) | 10101101110000 |
| Octal (base 8) | 25560 |
| Hexadecimal (base 16) | 2B70 |
| Base 3 | 120020212 |
| As time | 11120 seconds = 3 h 5 min 20 s |
Is 11120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11120 ÷ 2 = 5560) | 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 (11120 ÷ 4 = 2780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (11120 ÷ 5 = 2224) | 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 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 (11120 ÷ 8 = 1390) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11120 ÷ 10 = 1112) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | 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 11120 a prime number?
No. 11120 = × 5 × 139, so it is divisible by 2.
What are the factors of 11120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 139, 278, 556, 695, 1112, 1390, 2224, 2780, 5560, 11120.
What is 11120 in binary?
10101101110000 (hexadecimal 2B70, octal 25560).
What is the square root of 11120?
About 105.4514, exactly 4√695.
Is 11120 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 11120?
11120 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 5.