The number 1130
1130 is a composite number with 8 divisors. Its prime factorisation is 2 × 5 × 113. Divisors (8): 1, 2, 5, 10, 113, 226, 565, 1130.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1130: a Harshad number: divisible by its digit sum 5.
- 2
1130 is composite. Its prime factorisation is
- 3
The divisors add up to 2052; without 1130 itself that is 922, so 1130 is deficient (922 is less than 1130). Euler's totient φ(1130) = 448 numbers up to 1130 share no factor with it.
- 4
The digits of 1130 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 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1130 = 2 \times 5 \times 113 \]
1130 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 8 |
| Sum of divisors | 2052 |
| Euler totient φ(n) | 448 |
| Square | 1276900 |
| Cube | 1442897000 |
| Square root | 33.615473 |
| Digit sum / digital root | 5 / 5 |
| Collatz steps to 1 | 18 |
| Scientific notation | 1.13 × |
1130 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and thirty |
| Roman numerals | MCXXX |
| Binary (base 2) | 10001101010 |
| Octal (base 8) | 2152 |
| Hexadecimal (base 16) | 46A |
| Base 3 | 1112212 |
| As time | 1130 seconds = 18 min 50 s |
Is 1130 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1130 ÷ 2 = 565) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1130 ÷ 5 = 226) | 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 3) | 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 | No (remainder 2) | 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 (1130 ÷ 10 = 113) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1130 a prime number?
No. 1130 = 2 × 5 × 113, so it is divisible by 2.
What are the factors of 1130?
1, 2, 5, 10, 113, 226, 565, 1130.
What is 1130 in binary?
10001101010 (hexadecimal 46A, octal 2152).
What is the square root of 1130?
About 33.6155.
What is 1130 in Roman numerals?
MCXXX.
Is 1130 divisible by 3?
No. Its digits add up to 5, which is not a multiple of 3.
What is special about the number 1130?
1130 is a Harshad number: divisible by its digit sum 5.