The number 42540
42540 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 709. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 709, 1418, 2127, 2836 … 42540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 42540: a Harshad number: divisible by its digit sum 15.
- 2
42540 is composite. Its prime factorisation is
- 3
The divisors add up to 119280; without 42540 itself that is 76740, so 42540 is abundant (76740 is more than 42540). Euler's totient φ(42540) = 11328 numbers up to 42540 share no factor with it.
- 4
The digits of 42540 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 57 steps to reach 1.
LaTeX source of the formulas on this page
\[ 42540 = 2^{2} \times 3 \times 5 \times 709 \]42540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 119280 |
| Euler totient φ(n) | 11328 |
| Square | 1809651600 |
| Cube | 76982579064000 |
| Square root | 206.252273 (= 2√10635) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 57 |
| Scientific notation | 4.254 × |
42540 in other forms
| Form | Value |
|---|---|
| In words | forty-two thousand five hundred and forty |
| Binary (base 2) | 1010011000101100 |
| Octal (base 8) | 123054 |
| Hexadecimal (base 16) | A62C |
| Base 3 | 2011100120 |
| As time | 42540 seconds = 11 h 49 min 0 s |
Is 42540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (42540 ÷ 2 = 21270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (42540 ÷ 3 = 14180) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (42540 ÷ 4 = 10635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (42540 ÷ 5 = 8508) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (42540 ÷ 6 = 7090) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (42540 ÷ 10 = 4254) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (42540 ÷ 12 = 3545) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 42540 a prime number?
No. 42540 = × 3 × 5 × 709, so it is divisible by 2.
What are the factors of 42540?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 709, 1418, 2127, 2836, 3545, 4254, 7090, 8508, 10635, 14180, 21270, 42540.
What is 42540 in binary?
1010011000101100 (hexadecimal A62C, octal 123054).
What is the square root of 42540?
About 206.2523, exactly 2√10635.
Is 42540 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 42540?
42540 is a Harshad number: divisible by its digit sum 15.