The number 20200
20200 is a composite number with 24 divisors. Its prime factorisation is × × 101. Divisors (24): 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 101, 200, 202, 404, 505 … 20200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20200: a Harshad number: divisible by its digit sum 4.
- 2
20200 is composite. Its prime factorisation is
- 3
The divisors add up to 47430; without 20200 itself that is 27230, so 20200 is abundant (27230 is more than 20200). Euler's totient φ(20200) = 8000 numbers up to 20200 share no factor with it.
- 4
The digits of 20200 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20200 = 2^{3} \times 5^{2} \times 101 \]20200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 47430 |
| Euler totient φ(n) | 8000 |
| Square | 408040000 |
| Cube | 8242408000000 |
| Square root | 142.126704 (= 10√202) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.02 × |
20200 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred |
| Binary (base 2) | 100111011101000 |
| Octal (base 8) | 47350 |
| Hexadecimal (base 16) | 4EE8 |
| Base 3 | 1000201011 |
| As time | 20200 seconds = 5 h 36 min 40 s |
Is 20200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20200 ÷ 2 = 10100) | 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 | Yes (20200 ÷ 4 = 5050) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20200 ÷ 5 = 4040) | 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 5) | 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 | Yes (20200 ÷ 8 = 2525) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20200 ÷ 10 = 2020) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20200 a prime number?
No. 20200 = × × 101, so it is divisible by 2.
What are the factors of 20200?
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 101, 200, 202, 404, 505, 808, 1010, 2020, 2525, 4040, 5050, 10100, 20200.
What is 20200 in binary?
100111011101000 (hexadecimal 4EE8, octal 47350).
What is the square root of 20200?
About 142.1267, exactly 10√202.
Is 20200 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 20200?
20200 is a Harshad number: divisible by its digit sum 4.