The number 52380
52380 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 97. Divisors (48): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45 … 52380.
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How to work it out
- 1
What is special about 52380: a Harshad number: divisible by its digit sum 18.
- 2
52380 is composite. Its prime factorisation is
- 3
The divisors add up to 164640; without 52380 itself that is 112260, so 52380 is abundant (112260 is more than 52380). Euler's totient φ(52380) = 13824 numbers up to 52380 share no factor with it.
- 4
The digits of 52380 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 78 steps to reach 1.
LaTeX source of the formulas on this page
\[ 52380 = 2^{2} \times 3^{3} \times 5 \times 97 \]52380 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 164640 |
| Euler totient φ(n) | 13824 |
| Square | 2743664400 |
| Cube | 143713141272000 |
| Square root | 228.866773 (= 6√1455) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 78 |
| Scientific notation | 5.238 × |
52380 in other forms
| Form | Value |
|---|---|
| In words | fifty-two thousand three hundred and eighty |
| Binary (base 2) | 1100110010011100 |
| Octal (base 8) | 146234 |
| Hexadecimal (base 16) | CC9C |
| Base 3 | 2122212000 |
| As time | 52380 seconds = 14 h 33 min 0 s |
Is 52380 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (52380 ÷ 2 = 26190) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (52380 ÷ 3 = 17460) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (52380 ÷ 4 = 13095) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (52380 ÷ 5 = 10476) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (52380 ÷ 6 = 8730) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (52380 ÷ 9 = 5820) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (52380 ÷ 10 = 5238) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (52380 ÷ 12 = 4365) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 52380 a prime number?
No. 52380 = × × 5 × 97, so it is divisible by 2.
What are the factors of 52380?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 97, 108, 135, 180, 194, 270, 291, 388, 485, 540, 582, 873, 970, 1164, 1455, 1746, 1940, 2619, 2910, 3492, 4365, 5238, 5820, 8730, 10476, 13095, 17460, 26190, 52380.
What is 52380 in binary?
1100110010011100 (hexadecimal CC9C, octal 146234).
What is the square root of 52380?
About 228.8668, exactly 6√1455.
Is 52380 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 52380?
52380 is a Harshad number: divisible by its digit sum 18.