The number 20090
20090 is a composite number with 24 divisors. Its prime factorisation is 2 × 5 × × 41. Divisors (24): 1, 2, 5, 7, 10, 14, 35, 41, 49, 70, 82, 98, 205, 245, 287, 410 … 20090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20090 is composite. Its prime factorisation is
- 3
The divisors add up to 43092; without 20090 itself that is 23002, so 20090 is abundant (23002 is more than 20090). Euler's totient φ(20090) = 6720 numbers up to 20090 share no factor with it.
- 4
The digits of 20090 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 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20090 = 2 \times 5 \times 7^{2} \times 41 \]20090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 43092 |
| Euler totient φ(n) | 6720 |
| Square | 403608100 |
| Cube | 8108486729000 |
| Square root | 141.739197 (= 7√410) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.009 × |
20090 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and ninety |
| Binary (base 2) | 100111001111010 |
| Octal (base 8) | 47172 |
| Hexadecimal (base 16) | 4E7A |
| Base 3 | 1000120002 |
| As time | 20090 seconds = 5 h 34 min 50 s |
Is 20090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20090 ÷ 2 = 10045) | 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 (20090 ÷ 5 = 4018) | 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 (20090 ÷ 7 = 2870) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20090 ÷ 10 = 2009) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | 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 20090 a prime number?
No. 20090 = 2 × 5 × × 41, so it is divisible by 2.
What are the factors of 20090?
1, 2, 5, 7, 10, 14, 35, 41, 49, 70, 82, 98, 205, 245, 287, 410, 490, 574, 1435, 2009, 2870, 4018, 10045, 20090.
What is 20090 in binary?
100111001111010 (hexadecimal 4E7A, octal 47172).
What is the square root of 20090?
About 141.7392, exactly 7√410.
Is 20090 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 20090?
It is a composite number with 24 divisors.