The number 20016
20016 is a composite number with 30 divisors. Its prime factorisation is × × 139. Divisors (30): 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 139, 144 … 20016.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20016: a Harshad number: divisible by its digit sum 9.
- 2
20016 is composite. Its prime factorisation is
- 3
The divisors add up to 56420; without 20016 itself that is 36404, so 20016 is abundant (36404 is more than 20016). Euler's totient φ(20016) = 6624 numbers up to 20016 share no factor with it.
- 4
The digits of 20016 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20016 = 2^{4} \times 3^{2} \times 139 \]20016 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 30 |
| Sum of divisors | 56420 |
| Euler totient φ(n) | 6624 |
| Square | 400640256 |
| Cube | 8019215364096 |
| Square root | 141.477913 (= 12√139) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 30 |
| Scientific notation | 2.0016 × |
20016 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and sixteen |
| Binary (base 2) | 100111000110000 |
| Octal (base 8) | 47060 |
| Hexadecimal (base 16) | 4E30 |
| Base 3 | 1000110100 |
| As time | 20016 seconds = 5 h 33 min 36 s |
Is 20016 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20016 ÷ 2 = 10008) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20016 ÷ 3 = 6672) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20016 ÷ 4 = 5004) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 1) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20016 ÷ 6 = 3336) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (20016 ÷ 8 = 2502) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (20016 ÷ 9 = 2224) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 6) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20016 ÷ 12 = 1668) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20016 a prime number?
No. 20016 = × × 139, so it is divisible by 2.
What are the factors of 20016?
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 139, 144, 278, 417, 556, 834, 1112, 1251, 1668, 2224, 2502, 3336, 5004, 6672, 10008, 20016.
What is 20016 in binary?
100111000110000 (hexadecimal 4E30, octal 47060).
What is the square root of 20016?
About 141.4779, exactly 12√139.
Is 20016 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 20016?
20016 is a Harshad number: divisible by its digit sum 9.