The number 16160
16160 is a composite number with 24 divisors. Its prime factorisation is × 5 × 101. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 101, 160, 202, 404, 505 … 16160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
16160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
16160 is composite. Its prime factorisation is
- 3
The divisors add up to 38556; without 16160 itself that is 22396, so 16160 is abundant (22396 is more than 16160). Euler's totient φ(16160) = 6400 numbers up to 16160 share no factor with it.
- 4
The digits of 16160 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 66 steps to reach 1.
LaTeX source of the formulas on this page
\[ 16160 = 2^{5} \times 5 \times 101 \]16160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 38556 |
| Euler totient φ(n) | 6400 |
| Square | 261145600 |
| Cube | 4220112896000 |
| Square root | 127.121989 (= 4√1010) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 66 |
| Scientific notation | 1.616 × |
16160 in other forms
| Form | Value |
|---|---|
| In words | sixteen thousand one hundred and sixty |
| Binary (base 2) | 11111100100000 |
| Octal (base 8) | 37440 |
| Hexadecimal (base 16) | 3F20 |
| Base 3 | 211011112 |
| As time | 16160 seconds = 4 h 29 min 20 s |
Is 16160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (16160 ÷ 2 = 8080) | 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 (16160 ÷ 4 = 4040) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (16160 ÷ 5 = 3232) | 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 4) | 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 (16160 ÷ 8 = 2020) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (16160 ÷ 10 = 1616) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 16160 a prime number?
No. 16160 = × 5 × 101, so it is divisible by 2.
What are the factors of 16160?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 101, 160, 202, 404, 505, 808, 1010, 1616, 2020, 3232, 4040, 8080, 16160.
What is 16160 in binary?
11111100100000 (hexadecimal 3F20, octal 37440).
What is the square root of 16160?
About 127.1220, exactly 4√1010.
Is 16160 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 16160?
It is a composite number with 24 divisors.