The number 20590
20590 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 29 × 71. Divisors (16): 1, 2, 5, 10, 29, 58, 71, 142, 145, 290, 355, 710, 2059, 4118, 10295, 20590.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20590 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20590 is composite. Its prime factorisation is
- 3
The divisors add up to 38880; without 20590 itself that is 18290, so 20590 is deficient (18290 is less than 20590). Euler's totient φ(20590) = 7840 numbers up to 20590 share no factor with it.
- 4
The digits of 20590 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 118 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20590 = 2 \times 5 \times 29 \times 71 \]
20590 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 38880 |
| Euler totient φ(n) | 7840 |
| Square | 423948100 |
| Cube | 8729091379000 |
| Square root | 143.492160 |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 118 |
| Scientific notation | 2.059 × |
20590 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand five hundred and ninety |
| Binary (base 2) | 101000001101110 |
| Octal (base 8) | 50156 |
| Hexadecimal (base 16) | 506E |
| Base 3 | 1001020121 |
| As time | 20590 seconds = 5 h 43 min 10 s |
Is 20590 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20590 ÷ 2 = 10295) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (20590 ÷ 5 = 4118) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 6) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20590 ÷ 10 = 2059) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20590 a prime number?
No. 20590 = 2 × 5 × 29 × 71, so it is divisible by 2.
What are the factors of 20590?
1, 2, 5, 10, 29, 58, 71, 142, 145, 290, 355, 710, 2059, 4118, 10295, 20590.
What is 20590 in binary?
101000001101110 (hexadecimal 506E, octal 50156).
What is the square root of 20590?
About 143.4922.
Is 20590 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 20590?
It is a composite number with 16 divisors.