The number 20000
20000 is a composite number with 30 divisors. Its prime factorisation is × . Divisors (30): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160 … 20000.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20000: a Harshad number: divisible by its digit sum 2.
- 2
20000 is composite. Its prime factorisation is
- 3
The divisors add up to 49203; without 20000 itself that is 29203, so 20000 is abundant (29203 is more than 20000). Euler's totient φ(20000) = 8000 numbers up to 20000 share no factor with it.
- 4
The digits of 20000 add up to 2, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20000 = 2^{5} \times 5^{4} \]20000 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 49203 |
| Euler totient φ(n) | 8000 |
| Square | 400000000 |
| Cube | 8000000000000 |
| Square root | 141.421356 (= 100√2) |
| Digit sum / digital root | 2 / 2 |
| Collatz steps to 1 | 30 |
| Scientific notation | 2 × |
20000 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand |
| Binary (base 2) | 100111000100000 |
| Octal (base 8) | 47040 |
| Hexadecimal (base 16) | 4E20 |
| Base 3 | 1000102202 |
| As time | 20000 seconds = 5 h 33 min 20 s |
Is 20000 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20000 ÷ 2 = 10000) | 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 (20000 ÷ 4 = 5000) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20000 ÷ 5 = 4000) | 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 1) | 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 (20000 ÷ 8 = 2500) | 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 (20000 ÷ 10 = 2000) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 20000 a prime number?
No. 20000 = × , so it is divisible by 2.
What are the factors of 20000?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 125, 160, 200, 250, 400, 500, 625, 800, 1000, 1250, 2000, 2500, 4000, 5000, 10000, 20000.
What is 20000 in binary?
100111000100000 (hexadecimal 4E20, octal 47040).
What is the square root of 20000?
About 141.4214, exactly 100√2.
Is 20000 divisible by 3?
No. Its digits add up to 2, which is not a multiple of 3.
What is special about the number 20000?
20000 is a Harshad number: divisible by its digit sum 2.