The number 18090
18090 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 67. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 67, 90, 134 … 18090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18090: a Harshad number: divisible by its digit sum 18.
- 2
18090 is composite. Its prime factorisation is
- 3
The divisors add up to 48960; without 18090 itself that is 30870, so 18090 is abundant (30870 is more than 18090). Euler's totient φ(18090) = 4752 numbers up to 18090 share no factor with it.
- 4
The digits of 18090 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 22 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18090 = 2 \times 3^{3} \times 5 \times 67 \]18090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 48960 |
| Euler totient φ(n) | 4752 |
| Square | 327248100 |
| Cube | 5919918129000 |
| Square root | 134.499071 (= 3√2010) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 22 |
| Scientific notation | 1.809 × |
18090 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand and ninety |
| Binary (base 2) | 100011010101010 |
| Octal (base 8) | 43252 |
| Hexadecimal (base 16) | 46AA |
| Base 3 | 220211000 |
| As time | 18090 seconds = 5 h 1 min 30 s |
Is 18090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18090 ÷ 2 = 9045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18090 ÷ 3 = 6030) | 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 (18090 ÷ 5 = 3618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18090 ÷ 6 = 3015) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (18090 ÷ 9 = 2010) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18090 ÷ 10 = 1809) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 18090 a prime number?
No. 18090 = 2 × × 5 × 67, so it is divisible by 2.
What are the factors of 18090?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 67, 90, 134, 135, 201, 270, 335, 402, 603, 670, 1005, 1206, 1809, 2010, 3015, 3618, 6030, 9045, 18090.
What is 18090 in binary?
100011010101010 (hexadecimal 46AA, octal 43252).
What is the square root of 18090?
About 134.4991, exactly 3√2010.
Is 18090 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 18090?
18090 is a Harshad number: divisible by its digit sum 18.