The number 90162
90162 is a composite number with 12 divisors. Its prime factorisation is 2 × × 5009. Divisors (12): 1, 2, 3, 6, 9, 18, 5009, 10018, 15027, 30054, 45081, 90162.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 90162: a Harshad number: divisible by its digit sum 18.
- 2
90162 is composite. Its prime factorisation is
- 3
The divisors add up to 195390; without 90162 itself that is 105228, so 90162 is abundant (105228 is more than 90162). Euler's totient φ(90162) = 30048 numbers up to 90162 share no factor with it.
- 4
The digits of 90162 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 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90162 = 2 \times 3^{2} \times 5009 \]90162 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 195390 |
| Euler totient φ(n) | 30048 |
| Square | 8129186244 |
| Cube | 732943690131528 |
| Square root | 300.269879 (= 3√10018) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 63 |
| Scientific notation | 9.0162 × |
90162 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand one hundred and sixty-two |
| Binary (base 2) | 10110000000110010 |
| Octal (base 8) | 260062 |
| Hexadecimal (base 16) | 16032 |
| Base 3 | 11120200100 |
| As time | 90162 seconds = 25 h 2 min 42 s |
Is 90162 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90162 ÷ 2 = 45081) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (90162 ÷ 3 = 30054) | 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 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (90162 ÷ 6 = 15027) | 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 (90162 ÷ 9 = 10018) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | 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 90162 a prime number?
No. 90162 = 2 × × 5009, so it is divisible by 2.
What are the factors of 90162?
1, 2, 3, 6, 9, 18, 5009, 10018, 15027, 30054, 45081, 90162.
What is 90162 in binary?
10110000000110010 (hexadecimal 16032, octal 260062).
What is the square root of 90162?
About 300.2699, exactly 3√10018.
Is 90162 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 90162?
90162 is a Harshad number: divisible by its digit sum 18.