The number 90080
90080 is a composite number with 24 divisors. Its prime factorisation is × 5 × 563. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 563, 1126, 2252, 2815 … 90080.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
90080 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
90080 is composite. Its prime factorisation is
- 3
The divisors add up to 213192; without 90080 itself that is 123112, so 90080 is abundant (123112 is more than 90080). Euler's totient φ(90080) = 35968 numbers up to 90080 share no factor with it.
- 4
The digits of 90080 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 164 steps to reach 1.
LaTeX source of the formulas on this page
\[ 90080 = 2^{5} \times 5 \times 563 \]90080 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 213192 |
| Euler totient φ(n) | 35968 |
| Square | 8114406400 |
| Cube | 730945728512000 |
| Square root | 300.133304 (= 4√5630) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 164 |
| Scientific notation | 9.008 × |
90080 in other forms
| Form | Value |
|---|---|
| In words | ninety thousand and eighty |
| Binary (base 2) | 10101111111100000 |
| Octal (base 8) | 257740 |
| Hexadecimal (base 16) | 15FE0 |
| Base 3 | 11120120022 |
| As time | 90080 seconds = 25 h 1 min 20 s |
Is 90080 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (90080 ÷ 2 = 45040) | 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 (90080 ÷ 4 = 22520) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (90080 ÷ 5 = 18016) | 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 | 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 | Yes (90080 ÷ 8 = 11260) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (90080 ÷ 10 = 9008) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 90080 a prime number?
No. 90080 = × 5 × 563, so it is divisible by 2.
What are the factors of 90080?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 563, 1126, 2252, 2815, 4504, 5630, 9008, 11260, 18016, 22520, 45040, 90080.
What is 90080 in binary?
10101111111100000 (hexadecimal 15FE0, octal 257740).
What is the square root of 90080?
About 300.1333, exactly 4√5630.
Is 90080 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 90080?
It is a composite number with 24 divisors.