The number 67040
67040 is a composite number with 24 divisors. Its prime factorisation is × 5 × 419. Divisors (24): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095 … 67040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67040 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67040 is composite. Its prime factorisation is
- 3
The divisors add up to 158760; without 67040 itself that is 91720, so 67040 is abundant (91720 is more than 67040). Euler's totient φ(67040) = 26752 numbers up to 67040 share no factor with it.
- 4
The digits of 67040 add up to 17, and repeating that until one digit is left gives the digital root 8. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67040 = 2^{5} \times 5 \times 419 \]67040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 158760 |
| Euler totient φ(n) | 26752 |
| Square | 4494361600 |
| Cube | 301302001664000 |
| Square root | 258.920837 (= 4√4190) |
| Digit sum / digital root | 17 / 8 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.704 × |
67040 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and forty |
| Binary (base 2) | 10000010111100000 |
| Octal (base 8) | 202740 |
| Hexadecimal (base 16) | 105E0 |
| Base 3 | 10101221222 |
| As time | 67040 seconds = 18 h 37 min 20 s |
Is 67040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67040 ÷ 2 = 33520) | 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 (67040 ÷ 4 = 16760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67040 ÷ 5 = 13408) | 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 (67040 ÷ 8 = 8380) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 8) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67040 ÷ 10 = 6704) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67040 a prime number?
No. 67040 = × 5 × 419, so it is divisible by 2.
What are the factors of 67040?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 419, 838, 1676, 2095, 3352, 4190, 6704, 8380, 13408, 16760, 33520, 67040.
What is 67040 in binary?
10000010111100000 (hexadecimal 105E0, octal 202740).
What is the square root of 67040?
About 258.9208, exactly 4√4190.
Is 67040 divisible by 3?
No. Its digits add up to 17, which is not a multiple of 3.
What is special about the number 67040?
It is a composite number with 24 divisors.