The number 90020
90020 is a composite number with 24 divisors. Its prime factorisation is × 5 × 7 × 643. Divisors (24): 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 643, 1286, 2572, 3215 … 90020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90020 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90020 is composite. Its prime factorisation is
- 3
The divisors add up to 216384; without 90020 itself that is 126364, so 90020 is abundant (126364 is more than 90020). Euler's totient φ(90020) = 30816 numbers up to 90020 share no factor with it.
- 4
The digits of 90020 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 89 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90020 = 2^{2} \times 5 \times 7 \times 643 \]90020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 216384 |
| Euler totient φ(n) | 30816 |
| Square | 8103600400 |
| Cube | 729486108008000 |
| Square root | 300.033331 (= 2√22505) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 89 |
| Scientific notation | 9.002 × |
90020 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and twenty |
| Binary (base 2) | 10101111110100100 |
| Octal (base 8) | 257644 |
| Hexadecimal (base 16) | 15FA4 |
| Base 3 | 11120111002 |
| As time | 90020 seconds = 25 h 0 min 20 s |
Is 90020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90020 ÷ 2 = 45010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (90020 ÷ 4 = 22505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (90020 ÷ 5 = 18004) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (90020 ÷ 7 = 12860) | 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 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (90020 ÷ 10 = 9002) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 90020 a prime number?
No. 90020 = × 5 × 7 × 643, so it is divisible by 2.
What are the factors of 90020?
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140, 643, 1286, 2572, 3215, 4501, 6430, 9002, 12860, 18004, 22505, 45010, 90020.
What is 90020 in binary?
10101111110100100 (hexadecimal 15FA4, octal 257644).
What is the square root of 90020?
About 300.0333, exactly 2√22505.
Is 90020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 90020?
It is a composite number with 24 divisors.