The number 2090
2090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 11 × 19. Divisors (16): 1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 2090: a Harshad number: divisible by its digit sum 11.
- 2
2090 is composite. Its prime factorisation is
- 3
The divisors add up to 4320; without 2090 itself that is 2230, so 2090 is abundant (2230 is more than 2090). Euler's totient φ(2090) = 720 numbers up to 2090 share no factor with it.
- 4
The digits of 2090 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 2090 = 2 \times 5 \times 11 \times 19 \]
2090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 4320 |
| Euler totient φ(n) | 720 |
| Square | 4368100 |
| Cube | 9129329000 |
| Square root | 45.716518 |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 32 |
| Scientific notation | 2.09 × |
2090 in other forms
| Form | Value |
|---|---|
| In words | two thousand and ninety |
| Roman numerals | MMXC |
| Binary (base 2) | 100000101010 |
| Octal (base 8) | 4052 |
| Hexadecimal (base 16) | 82A |
| Base 3 | 2212102 |
| As time | 2090 seconds = 34 min 50 s |
Is 2090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (2090 ÷ 2 = 1045) | 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 (2090 ÷ 5 = 418) | 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 | 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 (2090 ÷ 10 = 209) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (2090 ÷ 11 = 190) | 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 2090 a prime number?
No. 2090 = 2 × 5 × 11 × 19, so it is divisible by 2.
What are the factors of 2090?
1, 2, 5, 10, 11, 19, 22, 38, 55, 95, 110, 190, 209, 418, 1045, 2090.
What is 2090 in binary?
100000101010 (hexadecimal 82A, octal 4052).
What is the square root of 2090?
About 45.7165.
What is 2090 in Roman numerals?
MMXC.
Is 2090 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 2090?
2090 is a Harshad number: divisible by its digit sum 11.