The number 38540
38540 is a composite number with 24 divisors. Its prime factorisation is × 5 × 41 × 47. Divisors (24): 1, 2, 4, 5, 10, 20, 41, 47, 82, 94, 164, 188, 205, 235, 410, 470 … 38540.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 38540: a Harshad number: divisible by its digit sum 20.
- 2
38540 is composite. Its prime factorisation is
- 3
The divisors add up to 84672; without 38540 itself that is 46132, so 38540 is abundant (46132 is more than 38540). Euler's totient φ(38540) = 14720 numbers up to 38540 share no factor with it.
- 4
The digits of 38540 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 124 steps to reach 1.
LaTeX source of the formulas on this page
\[ 38540 = 2^{2} \times 5 \times 41 \times 47 \]38540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 84672 |
| Euler totient φ(n) | 14720 |
| Square | 1485331600 |
| Cube | 57244679864000 |
| Square root | 196.316072 (= 2√9635) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 124 |
| Scientific notation | 3.854 × |
38540 in other forms
| Form | Value |
|---|---|
| In words | thirty-eight thousand five hundred and forty |
| Binary (base 2) | 1001011010001100 |
| Octal (base 8) | 113214 |
| Hexadecimal (base 16) | 968C |
| Base 3 | 1221212102 |
| As time | 38540 seconds = 10 h 42 min 20 s |
Is 38540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (38540 ÷ 2 = 19270) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (38540 ÷ 4 = 9635) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (38540 ÷ 5 = 7708) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (38540 ÷ 10 = 3854) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 38540 a prime number?
No. 38540 = × 5 × 41 × 47, so it is divisible by 2.
What are the factors of 38540?
1, 2, 4, 5, 10, 20, 41, 47, 82, 94, 164, 188, 205, 235, 410, 470, 820, 940, 1927, 3854, 7708, 9635, 19270, 38540.
What is 38540 in binary?
1001011010001100 (hexadecimal 968C, octal 113214).
What is the square root of 38540?
About 196.3161, exactly 2√9635.
Is 38540 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 38540?
38540 is a Harshad number: divisible by its digit sum 20.