The number 20180
20180 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1009. Divisors (12): 1, 2, 4, 5, 10, 20, 1009, 2018, 4036, 5045, 10090, 20180.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
20180 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
20180 is composite. Its prime factorisation is
- 3
The divisors add up to 42420; without 20180 itself that is 22240, so 20180 is abundant (22240 is more than 20180). Euler's totient φ(20180) = 8064 numbers up to 20180 share no factor with it.
- 4
The digits of 20180 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 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20180 = 2^{2} \times 5 \times 1009 \]20180 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 42420 |
| Euler totient φ(n) | 8064 |
| Square | 407232400 |
| Cube | 8217949832000 |
| Square root | 142.056327 (= 2√5045) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.018 × |
20180 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand one hundred and eighty |
| Binary (base 2) | 100111011010100 |
| Octal (base 8) | 47324 |
| Hexadecimal (base 16) | 4ED4 |
| Base 3 | 1000200102 |
| As time | 20180 seconds = 5 h 36 min 20 s |
Is 20180 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20180 ÷ 2 = 10090) | 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 | Yes (20180 ÷ 4 = 5045) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20180 ÷ 5 = 4036) | 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 4) | 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 (20180 ÷ 10 = 2018) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20180 a prime number?
No. 20180 = × 5 × 1009, so it is divisible by 2.
What are the factors of 20180?
1, 2, 4, 5, 10, 20, 1009, 2018, 4036, 5045, 10090, 20180.
What is 20180 in binary?
100111011010100 (hexadecimal 4ED4, octal 47324).
What is the square root of 20180?
About 142.0563, exactly 2√5045.
Is 20180 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 20180?
It is a composite number with 12 divisors.