The number 38520
38520 is a composite number with 48 divisors. Its prime factorisation is × × 5 × 107. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36 … 38520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38520: a Harshad number: divisible by its digit sum 18.
- 2
38520 is composite. Its prime factorisation is
- 3
The divisors add up to 126360; without 38520 itself that is 87840, so 38520 is abundant (87840 is more than 38520). Euler's totient φ(38520) = 10176 numbers up to 38520 share no factor with it.
- 4
The digits of 38520 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 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38520 = 2^{3} \times 3^{2} \times 5 \times 107 \]38520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 126360 |
| Euler totient φ(n) | 10176 |
| Square | 1483790400 |
| Cube | 57155606208000 |
| Square root | 196.265127 (= 6√1070) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 75 |
| Scientific notation | 3.852 × |
38520 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and twenty |
| Binary (base 2) | 1001011001111000 |
| Octal (base 8) | 113170 |
| Hexadecimal (base 16) | 9678 |
| Base 3 | 1221211200 |
| As time | 38520 seconds = 10 h 42 min 0 s |
Is 38520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38520 ÷ 2 = 19260) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38520 ÷ 3 = 12840) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38520 ÷ 4 = 9630) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38520 ÷ 5 = 7704) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38520 ÷ 6 = 6420) | 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 | Yes (38520 ÷ 8 = 4815) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (38520 ÷ 9 = 4280) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38520 ÷ 10 = 3852) | 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 (38520 ÷ 12 = 3210) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38520 a prime number?
No. 38520 = × × 5 × 107, so it is divisible by 2.
What are the factors of 38520?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 107, 120, 180, 214, 321, 360, 428, 535, 642, 856, 963, 1070, 1284, 1605, 1926, 2140, 2568, 3210, 3852, 4280, 4815, 6420, 7704, 9630, 12840, 19260, 38520.
What is 38520 in binary?
1001011001111000 (hexadecimal 9678, octal 113170).
What is the square root of 38520?
About 196.2651, exactly 6√1070.
Is 38520 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 38520?
38520 is a Harshad number: divisible by its digit sum 18.