The number 35920
35920 is a composite number with 20 divisors. Its prime factorisation is × 5 × 449. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 449, 898, 1796, 2245, 3592, 4490 … 35920.
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How to work it out
- 1
35920 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35920 is composite. Its prime factorisation is
- 3
The divisors add up to 83700; without 35920 itself that is 47780, so 35920 is abundant (47780 is more than 35920). Euler's totient φ(35920) = 14336 numbers up to 35920 share no factor with it.
- 4
The digits of 35920 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35920 = 2^{4} \times 5 \times 449 \]35920 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 83700 |
| Euler totient φ(n) | 14336 |
| Square | 1290246400 |
| Cube | 46345650688000 |
| Square root | 189.525724 (= 4√2245) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.592 × |
35920 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand nine hundred and twenty |
| Binary (base 2) | 1000110001010000 |
| Octal (base 8) | 106120 |
| Hexadecimal (base 16) | 8C50 |
| Base 3 | 1211021101 |
| As time | 35920 seconds = 9 h 58 min 40 s |
Is 35920 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35920 ÷ 2 = 17960) | 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 (35920 ÷ 4 = 8980) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35920 ÷ 5 = 7184) | 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 3) | 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 (35920 ÷ 8 = 4490) | 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 (35920 ÷ 10 = 3592) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 35920 a prime number?
No. 35920 = × 5 × 449, so it is divisible by 2.
What are the factors of 35920?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 449, 898, 1796, 2245, 3592, 4490, 7184, 8980, 17960, 35920.
What is 35920 in binary?
1000110001010000 (hexadecimal 8C50, octal 106120).
What is the square root of 35920?
About 189.5257, exactly 4√2245.
Is 35920 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 35920?
It is a composite number with 20 divisors.