The number 1190
1190 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 17. Divisors (16): 1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
1190 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
1190 is composite. Its prime factorisation is
- 3
The divisors add up to 2592; without 1190 itself that is 1402, so 1190 is abundant (1402 is more than 1190). Euler's totient φ(1190) = 384 numbers up to 1190 share no factor with it.
- 4
The digits of 1190 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 1190 = 2 \times 5 \times 7 \times 17 \]
1190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 2592 |
| Euler totient φ(n) | 384 |
| Square | 1416100 |
| Cube | 1685159000 |
| Square root | 34.496377 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 1.19 × |
1190 in other forms
| Form | Value |
|---|---|
| In words | one thousand one hundred and ninety |
| Roman numerals | MCXC |
| Binary (base 2) | 10010100110 |
| Octal (base 8) | 2246 |
| Hexadecimal (base 16) | 4A6 |
| Base 3 | 1122002 |
| As time | 1190 seconds = 19 min 50 s |
Is 1190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (1190 ÷ 2 = 595) | 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 (1190 ÷ 5 = 238) | 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 | Yes (1190 ÷ 7 = 170) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (1190 ÷ 10 = 119) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 1190 a prime number?
No. 1190 = 2 × 5 × 7 × 17, so it is divisible by 2.
What are the factors of 1190?
1, 2, 5, 7, 10, 14, 17, 34, 35, 70, 85, 119, 170, 238, 595, 1190.
What is 1190 in binary?
10010100110 (hexadecimal 4A6, octal 2246).
What is the square root of 1190?
About 34.4964.
What is 1190 in Roman numerals?
MCXC.
Is 1190 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 1190?
It is a composite number with 16 divisors.