The number 43140
43140 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 719. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 719, 1438, 2157, 2876 … 43140.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43140: a Harshad number: divisible by its digit sum 12.
- 2
43140 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 43140 itself that is 77820, so 43140 is abundant (77820 is more than 43140). Euler's totient φ(43140) = 11488 numbers up to 43140 share no factor with it.
- 4
The digits of 43140 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43140 = 2^{2} \times 3 \times 5 \times 719 \]43140 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 11488 |
| Square | 1861059600 |
| Cube | 80286111144000 |
| Square root | 207.701709 (= 2√10785) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.314 × |
43140 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and forty |
| Binary (base 2) | 1010100010000100 |
| Octal (base 8) | 124204 |
| Hexadecimal (base 16) | A884 |
| Base 3 | 2012011210 |
| As time | 43140 seconds = 11 h 59 min 0 s |
Is 43140 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43140 ÷ 2 = 21570) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (43140 ÷ 3 = 14380) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43140 ÷ 4 = 10785) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43140 ÷ 5 = 8628) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (43140 ÷ 6 = 7190) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43140 ÷ 10 = 4314) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (43140 ÷ 12 = 3595) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43140 a prime number?
No. 43140 = × 3 × 5 × 719, so it is divisible by 2.
What are the factors of 43140?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 719, 1438, 2157, 2876, 3595, 4314, 7190, 8628, 10785, 14380, 21570, 43140.
What is 43140 in binary?
1010100010000100 (hexadecimal A884, octal 124204).
What is the square root of 43140?
About 207.7017, exactly 2√10785.
Is 43140 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 43140?
43140 is a Harshad number: divisible by its digit sum 12.