The number 20064
20064 is a composite number with 48 divisors. Its prime factorisation is × 3 × 11 × 19. Divisors (48): 1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44 … 20064.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20064: a Harshad number: divisible by its digit sum 12.
- 2
20064 is composite. Its prime factorisation is
- 3
The divisors add up to 60480; without 20064 itself that is 40416, so 20064 is abundant (40416 is more than 20064). Euler's totient φ(20064) = 5760 numbers up to 20064 share no factor with it.
- 4
The digits of 20064 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20064 = 2^{5} \times 3 \times 11 \times 19 \]20064 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 60480 |
| Euler totient φ(n) | 5760 |
| Square | 402564096 |
| Cube | 8077046022144 |
| Square root | 141.647450 (= 4√1254) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0064 × |
20064 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and sixty-four |
| Binary (base 2) | 100111001100000 |
| Octal (base 8) | 47140 |
| Hexadecimal (base 16) | 4E60 |
| Base 3 | 1000112010 |
| As time | 20064 seconds = 5 h 34 min 24 s |
Is 20064 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20064 ÷ 2 = 10032) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (20064 ÷ 3 = 6688) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (20064 ÷ 4 = 5016) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (20064 ÷ 6 = 3344) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (20064 ÷ 8 = 2508) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20064 ÷ 11 = 1824) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (20064 ÷ 12 = 1672) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 20064 a prime number?
No. 20064 = × 3 × 11 × 19, so it is divisible by 2.
What are the factors of 20064?
1, 2, 3, 4, 6, 8, 11, 12, 16, 19, 22, 24, 32, 33, 38, 44, 48, 57, 66, 76, 88, 96, 114, 132, 152, 176, 209, 228, 264, 304, 352, 418, 456, 528, 608, 627, 836, 912, 1056, 1254, 1672, 1824, 2508, 3344, 5016, 6688, 10032, 20064.
What is 20064 in binary?
100111001100000 (hexadecimal 4E60, octal 47140).
What is the square root of 20064?
About 141.6474, exactly 4√1254.
Is 20064 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 20064?
20064 is a Harshad number: divisible by its digit sum 12.