The number 78012
78012 is a composite number with 36 divisors. Its prime factorisation is × × 11 × 197. Divisors (36): 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132 … 78012.
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How to work it out
- 1
What is special about 78012: a Harshad number: divisible by its digit sum 18.
- 2
78012 is composite. Its prime factorisation is
- 3
The divisors add up to 216216; without 78012 itself that is 138204, so 78012 is abundant (138204 is more than 78012). Euler's totient φ(78012) = 23520 numbers up to 78012 share no factor with it.
- 4
The digits of 78012 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 125 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78012 = 2^{2} \times 3^{2} \times 11 \times 197 \]78012 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 216216 |
| Euler totient φ(n) | 23520 |
| Square | 6085872144 |
| Cube | 474771057697728 |
| Square root | 279.306283 (= 6√2167) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 125 |
| Scientific notation | 7.8012 × |
78012 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and twelve |
| Binary (base 2) | 10011000010111100 |
| Octal (base 8) | 230274 |
| Hexadecimal (base 16) | 130BC |
| Base 3 | 10222000100 |
| As time | 78012 seconds = 21 h 40 min 12 s |
Is 78012 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78012 ÷ 2 = 39006) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78012 ÷ 3 = 26004) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (78012 ÷ 4 = 19503) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (78012 ÷ 6 = 13002) | 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 | Yes (78012 ÷ 9 = 8668) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 2) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (78012 ÷ 11 = 7092) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (78012 ÷ 12 = 6501) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 78012 a prime number?
No. 78012 = × × 11 × 197, so it is divisible by 2.
What are the factors of 78012?
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 197, 198, 394, 396, 591, 788, 1182, 1773, 2167, 2364, 3546, 4334, 6501, 7092, 8668, 13002, 19503, 26004, 39006, 78012.
What is 78012 in binary?
10011000010111100 (hexadecimal 130BC, octal 230274).
What is the square root of 78012?
About 279.3063, exactly 6√2167.
Is 78012 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 78012?
78012 is a Harshad number: divisible by its digit sum 18.