The number 39520
39520 is a composite number with 48 divisors. Its prime factorisation is × 5 × 13 × 19. Divisors (48): 1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 26, 32, 38, 40, 52, 65 … 39520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 39520: a Harshad number: divisible by its digit sum 19.
- 2
39520 is composite. Its prime factorisation is
- 3
The divisors add up to 105840; without 39520 itself that is 66320, so 39520 is abundant (66320 is more than 39520). Euler's totient φ(39520) = 13824 numbers up to 39520 share no factor with it.
- 4
The digits of 39520 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 137 steps to reach 1.
LaTeX source of the formulas on this page
\[ 39520 = 2^{5} \times 5 \times 13 \times 19 \]39520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 105840 |
| Euler totient φ(n) | 13824 |
| Square | 1561830400 |
| Cube | 61723537408000 |
| Square root | 198.796378 (= 4√2470) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 137 |
| Scientific notation | 3.952 × |
39520 in other forms
| Form | Value |
|---|---|
| In words | thirty-nine thousand five hundred and twenty |
| Binary (base 2) | 1001101001100000 |
| Octal (base 8) | 115140 |
| Hexadecimal (base 16) | 9A60 |
| Base 3 | 2000012201 |
| As time | 39520 seconds = 10 h 58 min 40 s |
Is 39520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (39520 ÷ 2 = 19760) | 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 (39520 ÷ 4 = 9880) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (39520 ÷ 5 = 7904) | 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 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 | Yes (39520 ÷ 8 = 4940) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (39520 ÷ 10 = 3952) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | 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 39520 a prime number?
No. 39520 = × 5 × 13 × 19, so it is divisible by 2.
What are the factors of 39520?
1, 2, 4, 5, 8, 10, 13, 16, 19, 20, 26, 32, 38, 40, 52, 65, 76, 80, 95, 104, 130, 152, 160, 190, 208, 247, 260, 304, 380, 416, 494, 520, 608, 760, 988, 1040, 1235, 1520, 1976, 2080, 2470, 3040, 3952, 4940, 7904, 9880, 19760, 39520.
What is 39520 in binary?
1001101001100000 (hexadecimal 9A60, octal 115140).
What is the square root of 39520?
About 198.7964, exactly 4√2470.
Is 39520 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 39520?
39520 is a Harshad number: divisible by its digit sum 19.