The number 12740
12740 is a composite number with 36 divisors. Its prime factorisation is × 5 × × 13. Divisors (36): 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70 … 12740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 12740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.
- 2
12740 is composite. Its prime factorisation is
- 3
The divisors add up to 33516; without 12740 itself that is 20776, so 12740 is abundant (20776 is more than 12740). Euler's totient φ(12740) = 4032 numbers up to 12740 share no factor with it.
- 4
The digits of 12740 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 32 steps to reach 1.
LaTeX source of the formulas on this page
\[ 12740 = 2^{2} \times 5 \times 7^{2} \times 13 \]12740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 33516 |
| Euler totient φ(n) | 4032 |
| Square | 162307600 |
| Cube | 2067798824000 |
| Square root | 112.871608 (= 14√65) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 32 |
| Scientific notation | 1.274 × |
12740 in other forms
| Form | Value |
|---|---|
| In words | twelve thousand seven hundred and forty |
| Binary (base 2) | 11000111000100 |
| Octal (base 8) | 30704 |
| Hexadecimal (base 16) | 31C4 |
| Base 3 | 122110212 |
| As time | 12740 seconds = 3 h 32 min 20 s |
Is 12740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (12740 ÷ 2 = 6370) | 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 (12740 ÷ 4 = 3185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (12740 ÷ 5 = 2548) | 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 | Yes (12740 ÷ 7 = 1820) | 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 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (12740 ÷ 10 = 1274) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | 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 12740 a prime number?
No. 12740 = × 5 × × 13, so it is divisible by 2.
What are the factors of 12740?
1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 49, 52, 65, 70, 91, 98, 130, 140, 182, 196, 245, 260, 364, 455, 490, 637, 910, 980, 1274, 1820, 2548, 3185, 6370, 12740.
What is 12740 in binary?
11000111000100 (hexadecimal 31C4, octal 30704).
What is the square root of 12740?
About 112.8716, exactly 14√65.
Is 12740 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 12740?
12740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 14.