The number 38040
38040 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 317. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 38040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38040: a Harshad number: divisible by its digit sum 15.
- 2
38040 is composite. Its prime factorisation is
- 3
The divisors add up to 114480; without 38040 itself that is 76440, so 38040 is abundant (76440 is more than 38040). Euler's totient φ(38040) = 10112 numbers up to 38040 share no factor with it.
- 4
The digits of 38040 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 54 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38040 = 2^{3} \times 3 \times 5 \times 317 \]38040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 114480 |
| Euler totient φ(n) | 10112 |
| Square | 1447041600 |
| Cube | 55045462464000 |
| Square root | 195.038458 (= 2√9510) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 54 |
| Scientific notation | 3.804 × |
38040 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand and forty |
| Binary (base 2) | 1001010010011000 |
| Octal (base 8) | 112230 |
| Hexadecimal (base 16) | 9498 |
| Base 3 | 1221011220 |
| As time | 38040 seconds = 10 h 34 min 0 s |
Is 38040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38040 ÷ 2 = 19020) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (38040 ÷ 3 = 12680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38040 ÷ 4 = 9510) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38040 ÷ 5 = 7608) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (38040 ÷ 6 = 6340) | 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 | Yes (38040 ÷ 8 = 4755) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38040 ÷ 10 = 3804) | 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 | Yes (38040 ÷ 12 = 3170) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38040 a prime number?
No. 38040 = × 3 × 5 × 317, so it is divisible by 2.
What are the factors of 38040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 317, 634, 951, 1268, 1585, 1902, 2536, 3170, 3804, 4755, 6340, 7608, 9510, 12680, 19020, 38040.
What is 38040 in binary?
1001010010011000 (hexadecimal 9498, octal 112230).
What is the square root of 38040?
About 195.0385, exactly 2√9510.
Is 38040 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 38040?
38040 is a Harshad number: divisible by its digit sum 15.