The number 43520
43520 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85 … 43520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
43520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
43520 is composite. Its prime factorisation is
- 3
The divisors add up to 110484; without 43520 itself that is 66964, so 43520 is abundant (66964 is more than 43520). Euler's totient φ(43520) = 16384 numbers up to 43520 share no factor with it.
- 4
The digits of 43520 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 18 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43520 = 2^{9} \times 5 \times 17 \]43520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 110484 |
| Euler totient φ(n) | 16384 |
| Square | 1893990400 |
| Cube | 82426462208000 |
| Square root | 208.614477 (= 16√170) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 18 |
| Scientific notation | 4.352 × |
43520 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand five hundred and twenty |
| Binary (base 2) | 1010101000000000 |
| Octal (base 8) | 125000 |
| Hexadecimal (base 16) | AA00 |
| Base 3 | 2012200212 |
| As time | 43520 seconds = 12 h 5 min 20 s |
Is 43520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43520 ÷ 2 = 21760) | 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 (43520 ÷ 4 = 10880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43520 ÷ 5 = 8704) | 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 1) | 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 (43520 ÷ 8 = 5440) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43520 ÷ 10 = 4352) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43520 a prime number?
No. 43520 = × 5 × 17, so it is divisible by 2.
What are the factors of 43520?
1, 2, 4, 5, 8, 10, 16, 17, 20, 32, 34, 40, 64, 68, 80, 85, 128, 136, 160, 170, 256, 272, 320, 340, 512, 544, 640, 680, 1088, 1280, 1360, 2176, 2560, 2720, 4352, 5440, 8704, 10880, 21760, 43520.
What is 43520 in binary?
1010101000000000 (hexadecimal AA00, octal 125000).
What is the square root of 43520?
About 208.6145, exactly 16√170.
Is 43520 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 43520?
It is a composite number with 40 divisors.