The number 35120
35120 is a composite number with 20 divisors. Its prime factorisation is × 5 × 439. Divisors (20): 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 439, 878, 1756, 2195, 3512, 4390 … 35120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
35120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
35120 is composite. Its prime factorisation is
- 3
The divisors add up to 81840; without 35120 itself that is 46720, so 35120 is abundant (46720 is more than 35120). Euler's totient φ(35120) = 14016 numbers up to 35120 share no factor with it.
- 4
The digits of 35120 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 142 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35120 = 2^{4} \times 5 \times 439 \]35120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 20 |
| Sum of divisors | 81840 |
| Euler totient φ(n) | 14016 |
| Square | 1233414400 |
| Cube | 43317513728000 |
| Square root | 187.403308 (= 4√2195) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 142 |
| Scientific notation | 3.512 × |
35120 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand one hundred and twenty |
| Binary (base 2) | 1000100100110000 |
| Octal (base 8) | 104460 |
| Hexadecimal (base 16) | 8930 |
| Base 3 | 1210011202 |
| As time | 35120 seconds = 9 h 45 min 20 s |
Is 35120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35120 ÷ 2 = 17560) | 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 (35120 ÷ 4 = 8780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35120 ÷ 5 = 7024) | 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 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 (35120 ÷ 8 = 4390) | 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 (35120 ÷ 10 = 3512) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35120 a prime number?
No. 35120 = × 5 × 439, so it is divisible by 2.
What are the factors of 35120?
1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 439, 878, 1756, 2195, 3512, 4390, 7024, 8780, 17560, 35120.
What is 35120 in binary?
1000100100110000 (hexadecimal 8930, octal 104460).
What is the square root of 35120?
About 187.4033, exactly 4√2195.
Is 35120 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 35120?
It is a composite number with 20 divisors.