The number 67770
67770 is a composite number with 32 divisors. Its prime factorisation is 2 × × 5 × 251. Divisors (32): 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 251 … 67770.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67770: a Harshad number: divisible by its digit sum 27.
- 2
67770 is composite. Its prime factorisation is
- 3
The divisors add up to 181440; without 67770 itself that is 113670, so 67770 is abundant (113670 is more than 67770). Euler's totient φ(67770) = 18000 numbers up to 67770 share no factor with it.
- 4
The digits of 67770 add up to 27, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 60 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67770 = 2 \times 3^{3} \times 5 \times 251 \]67770 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 181440 |
| Euler totient φ(n) | 18000 |
| Square | 4592772900 |
| Cube | 311252219433000 |
| Square root | 260.326718 (= 3√7530) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 60 |
| Scientific notation | 6.777 × |
67770 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand seven hundred and seventy |
| Binary (base 2) | 10000100010111010 |
| Octal (base 8) | 204272 |
| Hexadecimal (base 16) | 108BA |
| Base 3 | 10102222000 |
| As time | 67770 seconds = 18 h 49 min 30 s |
Is 67770 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67770 ÷ 2 = 33885) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67770 ÷ 3 = 22590) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67770 ÷ 5 = 13554) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67770 ÷ 6 = 11295) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67770 ÷ 9 = 7530) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67770 ÷ 10 = 6777) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 10) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67770 a prime number?
No. 67770 = 2 × × 5 × 251, so it is divisible by 2.
What are the factors of 67770?
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 251, 270, 502, 753, 1255, 1506, 2259, 2510, 3765, 4518, 6777, 7530, 11295, 13554, 22590, 33885, 67770.
What is 67770 in binary?
10000100010111010 (hexadecimal 108BA, octal 204272).
What is the square root of 67770?
About 260.3267, exactly 3√7530.
Is 67770 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 67770?
67770 is a Harshad number: divisible by its digit sum 27.