The number 67640
67640 is a composite number with 32 divisors. Its prime factorisation is × 5 × 19 × 89. Divisors (32): 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 89, 95, 152, 178, 190 … 67640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67640 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67640 is composite. Its prime factorisation is
- 3
The divisors add up to 162000; without 67640 itself that is 94360, so 67640 is abundant (94360 is more than 67640). Euler's totient φ(67640) = 25344 numbers up to 67640 share no factor with it.
- 4
The digits of 67640 add up to 23, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 205 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67640 = 2^{3} \times 5 \times 19 \times 89 \]67640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 162000 |
| Euler totient φ(n) | 25344 |
| Square | 4575169600 |
| Cube | 309464471744000 |
| Square root | 260.076912 (= 2√16910) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 205 |
| Scientific notation | 6.764 × |
67640 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand six hundred and forty |
| Binary (base 2) | 10000100000111000 |
| Octal (base 8) | 204070 |
| Hexadecimal (base 16) | 10838 |
| Base 3 | 10102210012 |
| As time | 67640 seconds = 18 h 47 min 20 s |
Is 67640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67640 ÷ 2 = 33820) | 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 (67640 ÷ 4 = 16910) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67640 ÷ 5 = 13528) | 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 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 (67640 ÷ 8 = 8455) | 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 (67640 ÷ 10 = 6764) | 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 67640 a prime number?
No. 67640 = × 5 × 19 × 89, so it is divisible by 2.
What are the factors of 67640?
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 89, 95, 152, 178, 190, 356, 380, 445, 712, 760, 890, 1691, 1780, 3382, 3560, 6764, 8455, 13528, 16910, 33820, 67640.
What is 67640 in binary?
10000100000111000 (hexadecimal 10838, octal 204070).
What is the square root of 67640?
About 260.0769, exactly 2√16910.
Is 67640 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67640?
It is a composite number with 32 divisors.