The number 20464
20464 is a composite number with 10 divisors. Its prime factorisation is × 1279. Divisors (10): 1, 2, 4, 8, 16, 1279, 2558, 5116, 10232, 20464.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20464: a Harshad number: divisible by its digit sum 16.
- 2
20464 is composite. Its prime factorisation is
- 3
The divisors add up to 39680; without 20464 itself that is 19216, so 20464 is deficient (19216 is less than 20464). Euler's totient φ(20464) = 10224 numbers up to 20464 share no factor with it.
- 4
The digits of 20464 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 136 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20464 = 2^{4} \times 1279 \]20464 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 10 |
| Sum of divisors | 39680 |
| Euler totient φ(n) | 10224 |
| Square | 418775296 |
| Cube | 8569817657344 |
| Square root | 143.052438 (= 4√1279) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 136 |
| Scientific notation | 2.0464 × |
20464 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand four hundred and sixty-four |
| Binary (base 2) | 100111111110000 |
| Octal (base 8) | 47760 |
| Hexadecimal (base 16) | 4FF0 |
| Base 3 | 1001001221 |
| As time | 20464 seconds = 5 h 41 min 4 s |
Is 20464 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20464 ÷ 2 = 10232) | 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 (20464 ÷ 4 = 5116) | 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 | No (remainder 4) | 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 (20464 ÷ 8 = 2558) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | 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 | 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 20464 a prime number?
No. 20464 = × 1279, so it is divisible by 2.
What are the factors of 20464?
1, 2, 4, 8, 16, 1279, 2558, 5116, 10232, 20464.
What is 20464 in binary?
100111111110000 (hexadecimal 4FF0, octal 47760).
What is the square root of 20464?
About 143.0524, exactly 4√1279.
Is 20464 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 20464?
20464 is a Harshad number: divisible by its digit sum 16.