The number 39040
39040 is a composite number with 32 divisors. Its prime factorisation is × 5 × 61. Divisors (32): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160 … 39040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39040: a Harshad number: divisible by its digit sum 16.
- 2
39040 is composite. Its prime factorisation is
- 3
The divisors add up to 94860; without 39040 itself that is 55820, so 39040 is abundant (55820 is more than 39040). Euler's totient φ(39040) = 15360 numbers up to 39040 share no factor with it.
- 4
The digits of 39040 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39040 = 2^{7} \times 5 \times 61 \]39040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 94860 |
| Euler totient φ(n) | 15360 |
| Square | 1524121600 |
| Cube | 59501707264000 |
| Square root | 197.585425 (= 8√610) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 3.904 × |
39040 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand and forty |
| Binary (base 2) | 1001100010000000 |
| Octal (base 8) | 114200 |
| Hexadecimal (base 16) | 9880 |
| Base 3 | 1222112221 |
| As time | 39040 seconds = 10 h 50 min 40 s |
Is 39040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39040 ÷ 2 = 19520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (39040 ÷ 4 = 9760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39040 ÷ 5 = 7808) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (39040 ÷ 8 = 4880) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39040 ÷ 10 = 3904) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 39040 a prime number?
No. 39040 = × 5 × 61, so it is divisible by 2.
What are the factors of 39040?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 61, 64, 80, 122, 128, 160, 244, 305, 320, 488, 610, 640, 976, 1220, 1952, 2440, 3904, 4880, 7808, 9760, 19520, 39040.
What is 39040 in binary?
1001100010000000 (hexadecimal 9880, octal 114200).
What is the square root of 39040?
About 197.5854, exactly 8√610.
Is 39040 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 39040?
39040 is a Harshad number: divisible by its digit sum 16.