The number 52740
52740 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 293. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 52740.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 52740: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
52740 is composite. Its prime factorisation is
- 3
The divisors add up to 160524; without 52740 itself that is 107784, so 52740 is abundant (107784 is more than 52740). Euler's totient φ(52740) = 14016 numbers up to 52740 share no factor with it.
- 4
The digits of 52740 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 127 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52740 = 2^{2} \times 3^{2} \times 5 \times 293 \]52740 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 160524 |
| Euler totient φ(n) | 14016 |
| Square | 2781507600 |
| Cube | 146696710824000 |
| Square root | 229.651911 (= 6√1465) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 127 |
| Scientific notation | 5.274 × |
52740 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand seven hundred and forty |
| Binary (base 2) | 1100111000000100 |
| Octal (base 8) | 147004 |
| Hexadecimal (base 16) | CE04 |
| Base 3 | 2200100100 |
| As time | 52740 seconds = 14 h 39 min 0 s |
Is 52740 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52740 ÷ 2 = 26370) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52740 ÷ 3 = 17580) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52740 ÷ 4 = 13185) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52740 ÷ 5 = 10548) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52740 ÷ 6 = 8790) | 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 | Yes (52740 ÷ 9 = 5860) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52740 ÷ 10 = 5274) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52740 ÷ 12 = 4395) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52740 a prime number?
No. 52740 = × × 5 × 293, so it is divisible by 2.
What are the factors of 52740?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 293, 586, 879, 1172, 1465, 1758, 2637, 2930, 3516, 4395, 5274, 5860, 8790, 10548, 13185, 17580, 26370, 52740.
What is 52740 in binary?
1100111000000100 (hexadecimal CE04, octal 147004).
What is the square root of 52740?
About 229.6519, exactly 6√1465.
Is 52740 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52740?
52740 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.