The number 1140
1140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 19. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76 … 1140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 1140: a Harshad number: divisible by its digit sum 6.
- 2
1140 is composite. Its prime factorisation is
- 3
The divisors add up to 3360; without 1140 itself that is 2220, so 1140 is abundant (2220 is more than 1140). Euler's totient φ(1140) = 288 numbers up to 1140 share no factor with it.
- 4
The digits of 1140 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 106 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1140 = 2^{2} \times 3 \times 5 \times 19 \]1140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 3360 |
| Euler totient φ(n) | 288 |
| Square | 1299600 |
| Cube | 1481544000 |
| Square root | 33.763886 (= 2√285) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 106 |
| Scientific notation | 1.14 × |
1140 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and forty |
| Roman numerals | MCXL |
| Binary (base 2) | 10001110100 |
| Octal (base 8) | 2164 |
| Hexadecimal (base 16) | 474 |
| Base 3 | 1120020 |
| As time | 1140 seconds = 19 min 0 s |
Is 1140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1140 ÷ 2 = 570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (1140 ÷ 3 = 380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (1140 ÷ 4 = 285) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (1140 ÷ 5 = 228) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (1140 ÷ 6 = 190) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1140 ÷ 10 = 114) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (1140 ÷ 12 = 95) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 1140 a prime number?
No. 1140 = × 3 × 5 × 19, so it is divisible by 2.
What are the factors of 1140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140.
What is 1140 in binary?
10001110100 (hexadecimal 474, octal 2164).
What is the square root of 1140?
About 33.7639, exactly 2√285.
What is 1140 in Roman numerals?
MCXL.
Is 1140 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 1140?
1140 is a Harshad number: divisible by its digit sum 6.