The number 1180
1180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 59. Divisors (12): 1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1180: a Harshad number: divisible by its digit sum 10.
- 2
1180 is composite. Its prime factorisation is
- 3
The divisors add up to 2520; without 1180 itself that is 1340, so 1180 is abundant (1340 is more than 1180). Euler's totient φ(1180) = 464 numbers up to 1180 share no factor with it.
- 4
The digits of 1180 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1180 = 2^{2} \times 5 \times 59 \]1180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 2520 |
| Euler totient φ(n) | 464 |
| Square | 1392400 |
| Cube | 1643032000 |
| Square root | 34.351128 (= 2√295) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 57 |
| Scientific notation | 1.18 × |
1180 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and eighty |
| Roman numerals | MCLXXX |
| Binary (base 2) | 10010011100 |
| Octal (base 8) | 2234 |
| Hexadecimal (base 16) | 49C |
| Base 3 | 1121201 |
| As time | 1180 seconds = 19 min 40 s |
Is 1180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1180 ÷ 2 = 590) | 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 (1180 ÷ 4 = 295) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1180 ÷ 5 = 236) | 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 | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1180 ÷ 10 = 118) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 1180 a prime number?
No. 1180 = × 5 × 59, so it is divisible by 2.
What are the factors of 1180?
1, 2, 4, 5, 10, 20, 59, 118, 236, 295, 590, 1180.
What is 1180 in binary?
10010011100 (hexadecimal 49C, octal 2234).
What is the square root of 1180?
About 34.3511, exactly 2√295.
What is 1180 in Roman numerals?
MCLXXX.
Is 1180 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 1180?
1180 is a Harshad number: divisible by its digit sum 10.