The number 67540
67540 is a composite number with 24 divisors. Its prime factorisation is × 5 × 11 × 307. Divisors (24): 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 307, 614, 1228, 1535 … 67540.
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How to work it out
- 1
What is special about 67540: a Harshad number: divisible by its digit sum 22.
- 2
67540 is composite. Its prime factorisation is
- 3
The divisors add up to 155232; without 67540 itself that is 87692, so 67540 is abundant (87692 is more than 67540). Euler's totient φ(67540) = 24480 numbers up to 67540 share no factor with it.
- 4
The digits of 67540 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 174 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67540 = 2^{2} \times 5 \times 11 \times 307 \]67540 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 155232 |
| Euler totient φ(n) | 24480 |
| Square | 4561651600 |
| Cube | 308093949064000 |
| Square root | 259.884590 (= 2√16885) |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 174 |
| Scientific notation | 6.754 × |
67540 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand five hundred and forty |
| Binary (base 2) | 10000011111010100 |
| Octal (base 8) | 203724 |
| Hexadecimal (base 16) | 107D4 |
| Base 3 | 10102122111 |
| As time | 67540 seconds = 18 h 45 min 40 s |
Is 67540 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67540 ÷ 2 = 33770) | 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 (67540 ÷ 4 = 16885) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67540 ÷ 5 = 13508) | 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 4) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67540 ÷ 10 = 6754) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (67540 ÷ 11 = 6140) | 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 67540 a prime number?
No. 67540 = × 5 × 11 × 307, so it is divisible by 2.
What are the factors of 67540?
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220, 307, 614, 1228, 1535, 3070, 3377, 6140, 6754, 13508, 16885, 33770, 67540.
What is 67540 in binary?
10000011111010100 (hexadecimal 107D4, octal 203724).
What is the square root of 67540?
About 259.8846, exactly 2√16885.
Is 67540 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 67540?
67540 is a Harshad number: divisible by its digit sum 22.