The number 43120
43120 is a composite number with 60 divisors. Its prime factorisation is × 5 × × 11. Divisors (60): 1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44 … 43120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 43120: a Harshad number: divisible by its digit sum 10.
- 2
43120 is composite. Its prime factorisation is
- 3
The divisors add up to 127224; without 43120 itself that is 84104, so 43120 is abundant (84104 is more than 43120). Euler's totient φ(43120) = 13440 numbers up to 43120 share no factor with it.
- 4
The digits of 43120 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 43120 = 2^{4} \times 5 \times 7^{2} \times 11 \]43120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 127224 |
| Euler totient φ(n) | 13440 |
| Square | 1859334400 |
| Cube | 80174499328000 |
| Square root | 207.653558 (= 28√55) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.312 × |
43120 in other forms
| Form | Value |
|---|---|
| In words | forty-three thousand one hundred and twenty |
| Binary (base 2) | 1010100001110000 |
| Octal (base 8) | 124160 |
| Hexadecimal (base 16) | A870 |
| Base 3 | 2012011001 |
| As time | 43120 seconds = 11 h 58 min 40 s |
Is 43120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (43120 ÷ 2 = 21560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (43120 ÷ 4 = 10780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (43120 ÷ 5 = 8624) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (43120 ÷ 7 = 6160) | 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 (43120 ÷ 8 = 5390) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (43120 ÷ 10 = 4312) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (43120 ÷ 11 = 3920) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 43120 a prime number?
No. 43120 = × 5 × × 11, so it is divisible by 2.
What are the factors of 43120?
1, 2, 4, 5, 7, 8, 10, 11, 14, 16, 20, 22, 28, 35, 40, 44, 49, 55, 56, 70, 77, 80, 88, 98, 110, 112, 140, 154, 176, 196, 220, 245, 280, 308, 385, 392, 440, 490, 539, 560, 616, 770, 784, 880, 980, 1078, 1232, 1540, 1960, 2156, 2695, 3080, 3920, 4312, 5390, 6160, 8624, 10780, 21560, 43120.
What is 43120 in binary?
1010100001110000 (hexadecimal A870, octal 124160).
What is the square root of 43120?
About 207.6536, exactly 28√55.
Is 43120 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 43120?
43120 is a Harshad number: divisible by its digit sum 10.