The number 160
160 is a composite number with 12 divisors. Its prime factorisation is × 5. Divisors (12): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
160 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
160 is composite. Its prime factorisation is
- 3
The divisors add up to 378; without 160 itself that is 218, so 160 is abundant (218 is more than 160). Euler's totient φ(160) = 64 numbers up to 160 share no factor with it.
- 4
The digits of 160 add up to 7, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 10 steps to reach 1.
LaTeX source of the formulas on this page
\[ 160 = 2^{5} \times 5 \]160 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 378 |
| Euler totient φ(n) | 64 |
| Square | 25600 |
| Cube | 4096000 |
| Square root | 12.649111 (= 4√10) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 10 |
| Scientific notation | 1.6 × |
160 in other forms
| Form | Value |
|---|---|
| In words | one hundred and sixty |
| Roman numerals | CLX |
| Binary (base 2) | 10100000 |
| Octal (base 8) | 240 |
| Hexadecimal (base 16) | A0 |
| Base 3 | 12221 |
| As time | 160 seconds = 2 min 40 s |
Is 160 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (160 ÷ 2 = 80) | 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 (160 ÷ 4 = 40) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (160 ÷ 5 = 32) | 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 6) | 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 (160 ÷ 8 = 20) | 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 (160 ÷ 10 = 16) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | 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 160 a prime number?
No. 160 = × 5, so it is divisible by 2.
What are the factors of 160?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160.
What is 160 in binary?
10100000 (hexadecimal A0, octal 240).
What is the square root of 160?
About 12.6491, exactly 4√10.
What is 160 in Roman numerals?
CLX.
Is 160 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 160?
It is a composite number with 12 divisors.