The number 43020
43020 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 239. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 43020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43020: a Harshad number: divisible by its digit sum 9.
- 2
43020 is composite. Its prime factorisation is
- 3
The divisors add up to 131040; without 43020 itself that is 88020, so 43020 is abundant (88020 is more than 43020). Euler's totient φ(43020) = 11424 numbers up to 43020 share no factor with it.
- 4
The digits of 43020 add up to 9, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43020 = 2^{2} \times 3^{2} \times 5 \times 239 \]43020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 131040 |
| Euler totient φ(n) | 11424 |
| Square | 1850720400 |
| Cube | 79617991608000 |
| Square root | 207.412632 (= 6√1195) |
| Digit sum / digital root | 9 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.302 × |
43020 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand and twenty |
| Binary (base 2) | 1010100000001100 |
| Octal (base 8) | 124014 |
| Hexadecimal (base 16) | A80C |
| Base 3 | 2012000100 |
| As time | 43020 seconds = 11 h 57 min 0 s |
Is 43020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43020 ÷ 2 = 21510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43020 ÷ 3 = 14340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43020 ÷ 4 = 10755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43020 ÷ 5 = 8604) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43020 ÷ 6 = 7170) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (43020 ÷ 9 = 4780) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43020 ÷ 10 = 4302) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43020 ÷ 12 = 3585) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43020 a prime number?
No. 43020 = × × 5 × 239, so it is divisible by 2.
What are the factors of 43020?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 239, 478, 717, 956, 1195, 1434, 2151, 2390, 2868, 3585, 4302, 4780, 7170, 8604, 10755, 14340, 21510, 43020.
What is 43020 in binary?
1010100000001100 (hexadecimal A80C, octal 124014).
What is the square root of 43020?
About 207.4126, exactly 6√1195.
Is 43020 divisible by 3?
Yes. Its digits add up to 9, a multiple of 3.
What is special about the number 43020?
43020 is a Harshad number: divisible by its digit sum 9.