The number 11790
11790 is a composite number with 24 divisors. Its prime factorisation is 2 × × 5 × 131. Divisors (24): 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 131, 262, 393, 655 … 11790.
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How to work it out
- 1
What is special about 11790: a Harshad number: divisible by its digit sum 18.
- 2
11790 is composite. Its prime factorisation is
- 3
The divisors add up to 30888; without 11790 itself that is 19098, so 11790 is abundant (19098 is more than 11790). Euler's totient φ(11790) = 3120 numbers up to 11790 share no factor with it.
- 4
The digits of 11790 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 81 steps to reach 1.
LaTeX source of the formulas on this page
\[ 11790 = 2 \times 3^{2} \times 5 \times 131 \]11790 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30888 |
| Euler totient φ(n) | 3120 |
| Square | 139004100 |
| Cube | 1638858339000 |
| Square root | 108.581766 (= 3√1310) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 81 |
| Scientific notation | 1.179 × |
11790 in other forms
| Form | Value |
|---|---|
| In words | eleven thousand seven hundred and ninety |
| Binary (base 2) | 10111000001110 |
| Octal (base 8) | 27016 |
| Hexadecimal (base 16) | 2E0E |
| Base 3 | 121011200 |
| As time | 11790 seconds = 3 h 16 min 30 s |
Is 11790 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (11790 ÷ 2 = 5895) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (11790 ÷ 3 = 3930) | 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 (11790 ÷ 5 = 2358) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (11790 ÷ 6 = 1965) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 | Yes (11790 ÷ 9 = 1310) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (11790 ÷ 10 = 1179) | 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 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 11790 a prime number?
No. 11790 = 2 × × 5 × 131, so it is divisible by 2.
What are the factors of 11790?
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90, 131, 262, 393, 655, 786, 1179, 1310, 1965, 2358, 3930, 5895, 11790.
What is 11790 in binary?
10111000001110 (hexadecimal 2E0E, octal 27016).
What is the square root of 11790?
About 108.5818, exactly 3√1310.
Is 11790 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 11790?
11790 is a Harshad number: divisible by its digit sum 18.