The number 20088
20088 is a composite number with 40 divisors. Its prime factorisation is × × 31. Divisors (40): 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72 … 20088.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20088: a Harshad number: divisible by its digit sum 18.
- 2
20088 is composite. Its prime factorisation is
- 3
The divisors add up to 58080; without 20088 itself that is 37992, so 20088 is abundant (37992 is more than 20088). Euler's totient φ(20088) = 6480 numbers up to 20088 share no factor with it.
- 4
The digits of 20088 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 92 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20088 = 2^{3} \times 3^{4} \times 31 \]20088 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 58080 |
| Euler totient φ(n) | 6480 |
| Square | 403527744 |
| Cube | 8106065321472 |
| Square root | 141.732142 (= 18√62) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 92 |
| Scientific notation | 2.0088 × |
20088 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and eighty-eight |
| Binary (base 2) | 100111001111000 |
| Octal (base 8) | 47170 |
| Hexadecimal (base 16) | 4E78 |
| Base 3 | 1000120000 |
| As time | 20088 seconds = 5 h 34 min 48 s |
Is 20088 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20088 ÷ 2 = 10044) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20088 ÷ 3 = 6696) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20088 ÷ 4 = 5022) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 3) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20088 ÷ 6 = 3348) | 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 (20088 ÷ 8 = 2511) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20088 ÷ 9 = 2232) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 8) | 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 | Yes (20088 ÷ 12 = 1674) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20088 a prime number?
No. 20088 = × × 31, so it is divisible by 2.
What are the factors of 20088?
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 31, 36, 54, 62, 72, 81, 93, 108, 124, 162, 186, 216, 248, 279, 324, 372, 558, 648, 744, 837, 1116, 1674, 2232, 2511, 3348, 5022, 6696, 10044, 20088.
What is 20088 in binary?
100111001111000 (hexadecimal 4E78, octal 47170).
What is the square root of 20088?
About 141.7321, exactly 18√62.
Is 20088 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 20088?
20088 is a Harshad number: divisible by its digit sum 18.