The number 67050
67050 is a composite number with 36 divisors. Its prime factorisation is 2 × × × 149. Divisors (36): 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 149 … 67050.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67050: a Harshad number: divisible by its digit sum 18.
- 2
67050 is composite. Its prime factorisation is
- 3
The divisors add up to 181350; without 67050 itself that is 114300, so 67050 is abundant (114300 is more than 67050). Euler's totient φ(67050) = 17760 numbers up to 67050 share no factor with it.
- 4
The digits of 67050 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 112 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67050 = 2 \times 3^{2} \times 5^{2} \times 149 \]67050 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 181350 |
| Euler totient φ(n) | 17760 |
| Square | 4495702500 |
| Cube | 301436852625000 |
| Square root | 258.940148 (= 15√298) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 112 |
| Scientific notation | 6.705 × |
67050 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and fifty |
| Binary (base 2) | 10000010111101010 |
| Octal (base 8) | 202752 |
| Hexadecimal (base 16) | 105EA |
| Base 3 | 10101222100 |
| As time | 67050 seconds = 18 h 37 min 30 s |
Is 67050 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67050 ÷ 2 = 33525) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67050 ÷ 3 = 22350) | 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 (67050 ÷ 5 = 13410) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67050 ÷ 6 = 11175) | 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 2) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (67050 ÷ 9 = 7450) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67050 ÷ 10 = 6705) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 67050 a prime number?
No. 67050 = 2 × × × 149, so it is divisible by 2.
What are the factors of 67050?
1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 149, 150, 225, 298, 447, 450, 745, 894, 1341, 1490, 2235, 2682, 3725, 4470, 6705, 7450, 11175, 13410, 22350, 33525, 67050.
What is 67050 in binary?
10000010111101010 (hexadecimal 105EA, octal 202752).
What is the square root of 67050?
About 258.9401, exactly 15√298.
Is 67050 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 67050?
67050 is a Harshad number: divisible by its digit sum 18.