The number 20190
20190 is a composite number with 16 divisors. Its prime factorisation is 2 × 3 × 5 × 673. Divisors (16): 1, 2, 3, 5, 6, 10, 15, 30, 673, 1346, 2019, 3365, 4038, 6730, 10095, 20190.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20190: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
20190 is composite. Its prime factorisation is
- 3
The divisors add up to 48528; without 20190 itself that is 28338, so 20190 is abundant (28338 is more than 20190). Euler's totient φ(20190) = 5376 numbers up to 20190 share no factor with it.
- 4
The digits of 20190 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 149 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20190 = 2 \times 3 \times 5 \times 673 \]
20190 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 48528 |
| Euler totient φ(n) | 5376 |
| Square | 407636100 |
| Cube | 8230172859000 |
| Square root | 142.091520 |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 149 |
| Scientific notation | 2.019 × |
20190 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and ninety |
| Binary (base 2) | 100111011011110 |
| Octal (base 8) | 47336 |
| Hexadecimal (base 16) | 4EDE |
| Base 3 | 1000200210 |
| As time | 20190 seconds = 5 h 36 min 30 s |
Is 20190 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20190 ÷ 2 = 10095) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20190 ÷ 3 = 6730) | 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 (20190 ÷ 5 = 4038) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20190 ÷ 6 = 3365) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20190 ÷ 10 = 2019) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20190 a prime number?
No. 20190 = 2 × 3 × 5 × 673, so it is divisible by 2.
What are the factors of 20190?
1, 2, 3, 5, 6, 10, 15, 30, 673, 1346, 2019, 3365, 4038, 6730, 10095, 20190.
What is 20190 in binary?
100111011011110 (hexadecimal 4EDE, octal 47336).
What is the square root of 20190?
About 142.0915.
Is 20190 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20190?
20190 is a happy number: repeatedly adding the squares of its digits reaches 1.