The number 67460
67460 is a composite number with 12 divisors. Its prime factorisation is × 5 × 3373. Divisors (12): 1, 2, 4, 5, 10, 20, 3373, 6746, 13492, 16865, 33730, 67460.
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How to work it out
- 1
67460 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
67460 is composite. Its prime factorisation is
- 3
The divisors add up to 141708; without 67460 itself that is 74248, so 67460 is abundant (74248 is more than 67460). Euler's totient φ(67460) = 26976 numbers up to 67460 share no factor with it.
- 4
The digits of 67460 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 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67460 = 2^{2} \times 5 \times 3373 \]67460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 141708 |
| Euler totient φ(n) | 26976 |
| Square | 4550851600 |
| Cube | 307000448936000 |
| Square root | 259.730630 (= 2√16865) |
| Digit sum / digital root | 23 / 5 |
| Collatz steps to 1 | 68 |
| Scientific notation | 6.746 × |
67460 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand four hundred and sixty |
| Binary (base 2) | 10000011110000100 |
| Octal (base 8) | 203604 |
| Hexadecimal (base 16) | 10784 |
| Base 3 | 10102112112 |
| As time | 67460 seconds = 18 h 44 min 20 s |
Is 67460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67460 ÷ 2 = 33730) | 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 (67460 ÷ 4 = 16865) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67460 ÷ 5 = 13492) | 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 | No (remainder 4) | 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 (67460 ÷ 10 = 6746) | 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 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67460 a prime number?
No. 67460 = × 5 × 3373, so it is divisible by 2.
What are the factors of 67460?
1, 2, 4, 5, 10, 20, 3373, 6746, 13492, 16865, 33730, 67460.
What is 67460 in binary?
10000011110000100 (hexadecimal 10784, octal 203604).
What is the square root of 67460?
About 259.7306, exactly 2√16865.
Is 67460 divisible by 3?
No. Its digits add up to 23, which is not a multiple of 3.
What is special about the number 67460?
It is a composite number with 12 divisors.