The number 35090
35090 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 29. Divisors (24): 1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605 … 35090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35090 is composite. Its prime factorisation is
- 3
The divisors add up to 71820; without 35090 itself that is 36730, so 35090 is abundant (36730 is more than 35090). Euler's totient φ(35090) = 12320 numbers up to 35090 share no factor with it.
- 4
The digits of 35090 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 217 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35090 = 2 \times 5 \times 11^{2} \times 29 \]35090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 71820 |
| Euler totient φ(n) | 12320 |
| Square | 1231308100 |
| Cube | 43206601229000 |
| Square root | 187.323250 (= 11√290) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 217 |
| Scientific notation | 3.509 × |
35090 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand and ninety |
| Binary (base 2) | 1000100100010010 |
| Octal (base 8) | 104422 |
| Hexadecimal (base 16) | 8912 |
| Base 3 | 1210010122 |
| As time | 35090 seconds = 9 h 44 min 50 s |
Is 35090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35090 ÷ 2 = 17545) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35090 ÷ 5 = 7018) | 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 6) | 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 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35090 ÷ 10 = 3509) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35090 ÷ 11 = 3190) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 2) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35090 a prime number?
No. 35090 = 2 × 5 × × 29, so it is divisible by 2.
What are the factors of 35090?
1, 2, 5, 10, 11, 22, 29, 55, 58, 110, 121, 145, 242, 290, 319, 605, 638, 1210, 1595, 3190, 3509, 7018, 17545, 35090.
What is 35090 in binary?
1000100100010010 (hexadecimal 8912, octal 104422).
What is the square root of 35090?
About 187.3233, exactly 11√290.
Is 35090 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 35090?
It is a composite number with 24 divisors.