The number 90189
90189 is a composite number with 12 divisors. Its prime factorisation is × 11 × 911. Divisors (12): 1, 3, 9, 11, 33, 99, 911, 2733, 8199, 10021, 30063, 90189.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90189 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90189 is composite. Its prime factorisation is
- 3
The divisors add up to 142272; without 90189 itself that is 52083, so 90189 is deficient (52083 is less than 90189). Euler's totient φ(90189) = 54600 numbers up to 90189 share no factor with it.
- 4
The digits of 90189 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 208 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90189 = 3^{2} \times 11 \times 911 \]90189 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 142272 |
| Euler totient φ(n) | 54600 |
| Square | 8134055721 |
| Cube | 733602351421269 |
| Square root | 300.314835 (= 3√10021) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 208 |
| Scientific notation | 9.0189 × |
90189 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and eighty-nine |
| Binary (base 2) | 10110000001001101 |
| Octal (base 8) | 260115 |
| Hexadecimal (base 16) | 1604D |
| Base 3 | 11120201100 |
| As time | 90189 seconds = 25 h 3 min 9 s |
Is 90189 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90189 ÷ 3 = 30063) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 1) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 3) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 5) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (90189 ÷ 9 = 10021) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 9) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (90189 ÷ 11 = 8199) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 9) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90189 a prime number?
No. 90189 = × 11 × 911, so it is divisible by 3.
What are the factors of 90189?
1, 3, 9, 11, 33, 99, 911, 2733, 8199, 10021, 30063, 90189.
What is 90189 in binary?
10110000001001101 (hexadecimal 1604D, octal 260115).
What is the square root of 90189?
About 300.3148, exactly 3√10021.
Is 90189 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 90189?
It is a composite number with 12 divisors.