The number 67240
67240 is a composite number with 24 divisors. Its prime factorisation is × 5 × . Divisors (24): 1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640 … 67240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
67240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67240 is composite. Its prime factorisation is
- 3
The divisors add up to 155070; without 67240 itself that is 87830, so 67240 is abundant (87830 is more than 67240). Euler's totient φ(67240) = 26240 numbers up to 67240 share no factor with it.
- 4
The digits of 67240 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67240 = 2^{3} \times 5 \times 41^{2} \]67240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155070 |
| Euler totient φ(n) | 26240 |
| Square | 4521217600 |
| Cube | 304006671424000 |
| Square root | 259.306768 (= 82√10) |
| Digit sum / digital root | 19 / 1 |
| Collatz steps to 1 | 37 |
| Scientific notation | 6.724 × |
67240 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand two hundred and forty |
| Binary (base 2) | 10000011010101000 |
| Octal (base 8) | 203250 |
| Hexadecimal (base 16) | 106A8 |
| Base 3 | 10102020101 |
| As time | 67240 seconds = 18 h 40 min 40 s |
Is 67240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67240 ÷ 2 = 33620) | 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 (67240 ÷ 4 = 16810) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67240 ÷ 5 = 13448) | 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 5) | 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 (67240 ÷ 8 = 8405) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67240 ÷ 10 = 6724) | 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 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67240 a prime number?
No. 67240 = × 5 × , so it is divisible by 2.
What are the factors of 67240?
1, 2, 4, 5, 8, 10, 20, 40, 41, 82, 164, 205, 328, 410, 820, 1640, 1681, 3362, 6724, 8405, 13448, 16810, 33620, 67240.
What is 67240 in binary?
10000011010101000 (hexadecimal 106A8, octal 203250).
What is the square root of 67240?
About 259.3068, exactly 82√10.
Is 67240 divisible by 3?
No. Its digits add up to 19, which is not a multiple of 3.
What is special about the number 67240?
It is a composite number with 24 divisors.