The number 43040
43040 is a composite number with 24 divisors. Its prime factorisation is × 5 × 269. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 269, 538, 1076, 1345 … 43040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43040 is composite. Its prime factorisation is
- 3
The divisors add up to 102060; without 43040 itself that is 59020, so 43040 is abundant (59020 is more than 43040). Euler's totient φ(43040) = 17152 numbers up to 43040 share no factor with it.
- 4
The digits of 43040 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 119 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43040 = 2^{5} \times 5 \times 269 \]43040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 102060 |
| Euler totient φ(n) | 17152 |
| Square | 1852441600 |
| Cube | 79729086464000 |
| Square root | 207.460840 (= 4√2690) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 119 |
| Scientific notation | 4.304 × |
43040 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and forty |
| Binary (base 2) | 1010100000100000 |
| Octal (base 8) | 124040 |
| Hexadecimal (base 16) | A820 |
| Base 3 | 2012001002 |
| As time | 43040 seconds = 11 h 57 min 20 s |
Is 43040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43040 ÷ 2 = 21520) | 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 (43040 ÷ 4 = 10760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43040 ÷ 5 = 8608) | 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 4) | 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 (43040 ÷ 8 = 5380) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43040 ÷ 10 = 4304) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 43040 a prime number?
No. 43040 = × 5 × 269, so it is divisible by 2.
What are the factors of 43040?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 269, 538, 1076, 1345, 2152, 2690, 4304, 5380, 8608, 10760, 21520, 43040.
What is 43040 in binary?
1010100000100000 (hexadecimal A820, octal 124040).
What is the square root of 43040?
About 207.4608, exactly 4√2690.
Is 43040 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 43040?
It is a composite number with 24 divisors.