The number 20240
20240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 11 × 23. Divisors (40): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 40, 44, 46, 55, 80 … 20240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20240: a Harshad number: divisible by its digit sum 8.
- 2
20240 is composite. Its prime factorisation is
- 3
The divisors add up to 53568; without 20240 itself that is 33328, so 20240 is abundant (33328 is more than 20240). Euler's totient φ(20240) = 7040 numbers up to 20240 share no factor with it.
- 4
The digits of 20240 add up to 8, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 43 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20240 = 2^{4} \times 5 \times 11 \times 23 \]20240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 53568 |
| Euler totient φ(n) | 7040 |
| Square | 409657600 |
| Cube | 8291469824000 |
| Square root | 142.267354 (= 4√1265) |
| Digit sum / digital root | 8 / 8 |
| Collatz steps to 1 | 43 |
| Scientific notation | 2.024 × |
20240 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand two hundred and forty |
| Binary (base 2) | 100111100010000 |
| Octal (base 8) | 47420 |
| Hexadecimal (base 16) | 4F10 |
| Base 3 | 1000202122 |
| As time | 20240 seconds = 5 h 37 min 20 s |
Is 20240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20240 ÷ 2 = 10120) | 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 (20240 ÷ 4 = 5060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20240 ÷ 5 = 4048) | 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 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 (20240 ÷ 8 = 2530) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20240 ÷ 10 = 2024) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20240 ÷ 11 = 1840) | 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 20240 a prime number?
No. 20240 = × 5 × 11 × 23, so it is divisible by 2.
What are the factors of 20240?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 40, 44, 46, 55, 80, 88, 92, 110, 115, 176, 184, 220, 230, 253, 368, 440, 460, 506, 880, 920, 1012, 1265, 1840, 2024, 2530, 4048, 5060, 10120, 20240.
What is 20240 in binary?
100111100010000 (hexadecimal 4F10, octal 47420).
What is the square root of 20240?
About 142.2674, exactly 4√1265.
Is 20240 divisible by 3?
No. Its digits add up to 8, which is not a multiple of 3.
What is special about the number 20240?
20240 is a Harshad number: divisible by its digit sum 8.