The number 76120
76120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 11 × 173. Divisors (32): 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 173, 220 … 76120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
76120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
76120 is composite. Its prime factorisation is
- 3
The divisors add up to 187920; without 76120 itself that is 111800, so 76120 is abundant (111800 is more than 76120). Euler's totient φ(76120) = 27520 numbers up to 76120 share no factor with it.
- 4
The digits of 76120 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 55 steps to reach 1.
LaTeX source of the formulas on this page
\[ 76120 = 2^{3} \times 5 \times 11 \times 173 \]76120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 187920 |
| Euler totient φ(n) | 27520 |
| Square | 5794254400 |
| Cube | 441058644928000 |
| Square root | 275.898532 (= 2√19030) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 55 |
| Scientific notation | 7.612 × |
76120 in other forms
| Form | Value |
|---|---|
| In words | seventy-six thousand one hundred and twenty |
| Binary (base 2) | 10010100101011000 |
| Octal (base 8) | 224530 |
| Hexadecimal (base 16) | 12958 |
| Base 3 | 10212102021 |
| As time | 76120 seconds = 21 h 8 min 40 s |
Is 76120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (76120 ÷ 2 = 38060) | 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 | Yes (76120 ÷ 4 = 19030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (76120 ÷ 5 = 15224) | 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 | 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 | Yes (76120 ÷ 8 = 9515) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (76120 ÷ 10 = 7612) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (76120 ÷ 11 = 6920) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 76120 a prime number?
No. 76120 = × 5 × 11 × 173, so it is divisible by 2.
What are the factors of 76120?
1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 173, 220, 346, 440, 692, 865, 1384, 1730, 1903, 3460, 3806, 6920, 7612, 9515, 15224, 19030, 38060, 76120.
What is 76120 in binary?
10010100101011000 (hexadecimal 12958, octal 224530).
What is the square root of 76120?
About 275.8985, exactly 2√19030.
Is 76120 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 76120?
It is a composite number with 32 divisors.