The number 67020
67020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1117. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468 … 67020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 67020: a Harshad number: divisible by its digit sum 15.
- 2
67020 is composite. Its prime factorisation is
- 3
The divisors add up to 187824; without 67020 itself that is 120804, so 67020 is abundant (120804 is more than 67020). Euler's totient φ(67020) = 17856 numbers up to 67020 share no factor with it.
- 4
The digits of 67020 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 161 steps to reach 1.
LaTeX source of the formulas on this page
\[ 67020 = 2^{2} \times 3 \times 5 \times 1117 \]67020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 187824 |
| Euler totient φ(n) | 17856 |
| Square | 4491680400 |
| Cube | 301032420408000 |
| Square root | 258.882213 (= 2√16755) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 161 |
| Scientific notation | 6.702 × |
67020 in other forms
| Form | Value |
|---|---|
| In words | sixty-seven thousand and twenty |
| Binary (base 2) | 10000010111001100 |
| Octal (base 8) | 202714 |
| Hexadecimal (base 16) | 105CC |
| Base 3 | 10101221020 |
| As time | 67020 seconds = 18 h 37 min 0 s |
Is 67020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (67020 ÷ 2 = 33510) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (67020 ÷ 3 = 22340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (67020 ÷ 4 = 16755) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (67020 ÷ 5 = 13404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (67020 ÷ 6 = 11170) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 2) | 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 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (67020 ÷ 10 = 6702) | 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 | Yes (67020 ÷ 12 = 5585) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 67020 a prime number?
No. 67020 = × 3 × 5 × 1117, so it is divisible by 2.
What are the factors of 67020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1117, 2234, 3351, 4468, 5585, 6702, 11170, 13404, 16755, 22340, 33510, 67020.
What is 67020 in binary?
10000010111001100 (hexadecimal 105CC, octal 202714).
What is the square root of 67020?
About 258.8822, exactly 2√16755.
Is 67020 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 67020?
67020 is a Harshad number: divisible by its digit sum 15.