The number 10740
10740 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 179. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 179, 358, 537, 716 … 10740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 10740: a Harshad number: divisible by its digit sum 12.
- 2
10740 is composite. Its prime factorisation is
- 3
The divisors add up to 30240; without 10740 itself that is 19500, so 10740 is abundant (19500 is more than 10740). Euler's totient φ(10740) = 2848 numbers up to 10740 share no factor with it.
- 4
The digits of 10740 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 99 steps to reach 1.
LaTeX source of the formulas on this page
\[ 10740 = 2^{2} \times 3 \times 5 \times 179 \]10740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 30240 |
| Euler totient φ(n) | 2848 |
| Square | 115347600 |
| Cube | 1238833224000 |
| Square root | 103.633971 (= 2√2685) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 99 |
| Scientific notation | 1.074 × |
10740 in other forms
| Form | Value |
|---|---|
| In words | ten thousand seven hundred and forty |
| Binary (base 2) | 10100111110100 |
| Octal (base 8) | 24764 |
| Hexadecimal (base 16) | 29F4 |
| Base 3 | 112201210 |
| As time | 10740 seconds = 2 h 59 min 0 s |
Is 10740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (10740 ÷ 2 = 5370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (10740 ÷ 3 = 3580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (10740 ÷ 4 = 2685) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (10740 ÷ 5 = 2148) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (10740 ÷ 6 = 1790) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 (10740 ÷ 10 = 1074) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (10740 ÷ 12 = 895) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 10740 a prime number?
No. 10740 = × 3 × 5 × 179, so it is divisible by 2.
What are the factors of 10740?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 179, 358, 537, 716, 895, 1074, 1790, 2148, 2685, 3580, 5370, 10740.
What is 10740 in binary?
10100111110100 (hexadecimal 29F4, octal 24764).
What is the square root of 10740?
About 103.6340, exactly 2√2685.
Is 10740 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 10740?
10740 is a Harshad number: divisible by its digit sum 12.