The number 1120
1120 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7. Divisors (24): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70 … 1120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1120: a Harshad number: divisible by its digit sum 4.
- 2
1120 is composite. Its prime factorisation is
- 3
The divisors add up to 3024; without 1120 itself that is 1904, so 1120 is abundant (1904 is more than 1120). Euler's totient φ(1120) = 384 numbers up to 1120 share no factor with it.
- 4
The digits of 1120 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1120 = 2^{5} \times 5 \times 7 \]1120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3024 |
| Euler totient φ(n) | 384 |
| Square | 1254400 |
| Cube | 1404928000 |
| Square root | 33.466401 (= 4√70) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.12 × |
1120 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and twenty |
| Roman numerals | MCXX |
| Binary (base 2) | 10001100000 |
| Octal (base 8) | 2140 |
| Hexadecimal (base 16) | 460 |
| Base 3 | 1112111 |
| As time | 1120 seconds = 18 min 40 s |
Is 1120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1120 ÷ 2 = 560) | 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 (1120 ÷ 4 = 280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1120 ÷ 5 = 224) | 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 (1120 ÷ 7 = 160) | 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 (1120 ÷ 8 = 140) | 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 (1120 ÷ 10 = 112) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1120 a prime number?
No. 1120 = × 5 × 7, so it is divisible by 2.
What are the factors of 1120?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 70, 80, 112, 140, 160, 224, 280, 560, 1120.
What is 1120 in binary?
10001100000 (hexadecimal 460, octal 2140).
What is the square root of 1120?
About 33.4664, exactly 4√70.
What is 1120 in Roman numerals?
MCXX.
Is 1120 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 1120?
1120 is a Harshad number: divisible by its digit sum 4.