The number 78090
78090 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 19 × 137. Divisors (32): 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 137, 190, 274 … 78090.
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How to work it out
- 1
78090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
78090 is composite. Its prime factorisation is
- 3
The divisors add up to 198720; without 78090 itself that is 120630, so 78090 is abundant (120630 is more than 78090). Euler's totient φ(78090) = 19584 numbers up to 78090 share no factor with it.
- 4
The digits of 78090 add up to 24, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 78090 = 2 \times 3 \times 5 \times 19 \times 137 \]
78090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 198720 |
| Euler totient φ(n) | 19584 |
| Square | 6098048100 |
| Cube | 476196576129000 |
| Square root | 279.445880 |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.809 × |
78090 in other forms
| Form | Value |
|---|---|
| In words | seventy-eight thousand and ninety |
| Binary (base 2) | 10011000100001010 |
| Octal (base 8) | 230412 |
| Hexadecimal (base 16) | 1310A |
| Base 3 | 10222010020 |
| As time | 78090 seconds = 21 h 41 min 30 s |
Is 78090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (78090 ÷ 2 = 39045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (78090 ÷ 3 = 26030) | 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 (78090 ÷ 5 = 15618) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (78090 ÷ 6 = 13015) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (78090 ÷ 10 = 7809) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | 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 78090 a prime number?
No. 78090 = 2 × 3 × 5 × 19 × 137, so it is divisible by 2.
What are the factors of 78090?
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 137, 190, 274, 285, 411, 570, 685, 822, 1370, 2055, 2603, 4110, 5206, 7809, 13015, 15618, 26030, 39045, 78090.
What is 78090 in binary?
10011000100001010 (hexadecimal 1310A, octal 230412).
What is the square root of 78090?
About 279.4459.
Is 78090 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 78090?
It is a composite number with 32 divisors.