The number 76090
76090 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 7 × 1087. Divisors (16): 1, 2, 5, 7, 10, 14, 35, 70, 1087, 2174, 5435, 7609, 10870, 15218, 38045, 76090.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76090 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76090 is composite. Its prime factorisation is
- 3
The divisors add up to 156672; without 76090 itself that is 80582, so 76090 is abundant (80582 is more than 76090). Euler's totient φ(76090) = 26064 numbers up to 76090 share no factor with it.
- 4
The digits of 76090 add up to 22, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76090 = 2 \times 5 \times 7 \times 1087 \]
76090 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 156672 |
| Euler totient φ(n) | 26064 |
| Square | 5789688100 |
| Cube | 440537367529000 |
| Square root | 275.844159 |
| Digit sum / digital root | 22 / 4 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.609 × |
76090 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand and ninety |
| Binary (base 2) | 10010100100111010 |
| Octal (base 8) | 224472 |
| Hexadecimal (base 16) | 1293A |
| Base 3 | 10212101011 |
| As time | 76090 seconds = 21 h 8 min 10 s |
Is 76090 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76090 ÷ 2 = 38045) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | 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 (76090 ÷ 5 = 15218) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (76090 ÷ 7 = 10870) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76090 ÷ 10 = 7609) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76090 a prime number?
No. 76090 = 2 × 5 × 7 × 1087, so it is divisible by 2.
What are the factors of 76090?
1, 2, 5, 7, 10, 14, 35, 70, 1087, 2174, 5435, 7609, 10870, 15218, 38045, 76090.
What is 76090 in binary?
10010100100111010 (hexadecimal 1293A, octal 224472).
What is the square root of 76090?
About 275.8442.
Is 76090 divisible by 3?
No. Its digits add up to 22, which is not a multiple of 3.
What is special about the number 76090?
It is a composite number with 16 divisors.