The number 90990
90990 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 337. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270 … 90990.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90990: a Harshad number: divisible by its digit sum 27.
- 2
90990 is composite. Its prime factorisation is
- 3
The divisors add up to 243360; without 90990 itself that is 152370, so 90990 is abundant (152370 is more than 90990). Euler's totient φ(90990) = 24192 numbers up to 90990 share no factor with it.
- 4
The digits of 90990 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 84 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90990 = 2 \times 3^{3} \times 5 \times 337 \]90990 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 243360 |
| Euler totient φ(n) | 24192 |
| Square | 8279180100 |
| Cube | 753322597299000 |
| Square root | 301.645487 (= 3√10110) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 84 |
| Scientific notation | 9.099 × |
90990 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand nine hundred and ninety |
| Binary (base 2) | 10110001101101110 |
| Octal (base 8) | 261556 |
| Hexadecimal (base 16) | 1636E |
| Base 3 | 11121211000 |
| As time | 90990 seconds = 25 h 16 min 30 s |
Is 90990 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90990 ÷ 2 = 45495) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90990 ÷ 3 = 30330) | 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 (90990 ÷ 5 = 18198) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (90990 ÷ 6 = 15165) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90990 ÷ 9 = 10110) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (90990 ÷ 10 = 9099) | 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 90990 a prime number?
No. 90990 = 2 × × 5 × 337, so it is divisible by 2.
What are the factors of 90990?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270, 337, 674, 1011, 1685, 2022, 3033, 3370, 5055, 6066, 9099, 10110, 15165, 18198, 30330, 45495, 90990.
What is 90990 in binary?
10110001101101110 (hexadecimal 1636E, octal 261556).
What is the square root of 90990?
About 301.6455, exactly 3√10110.
Is 90990 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 90990?
90990 is a Harshad number: divisible by its digit sum 27.