The number 96120
96120 is a composite number with 64 divisors. Its prime factorisation is × × 5 × 89. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30 … 96120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 96120: a Harshad number: divisible by its digit sum 18.
- 2
96120 is composite. Its prime factorisation is
- 3
The divisors add up to 324000; without 96120 itself that is 227880, so 96120 is abundant (227880 is more than 96120). Euler's totient φ(96120) = 25344 numbers up to 96120 share no factor with it.
- 4
The digits of 96120 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96120 = 2^{3} \times 3^{3} \times 5 \times 89 \]96120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 324000 |
| Euler totient φ(n) | 25344 |
| Square | 9239054400 |
| Cube | 888057908928000 |
| Square root | 310.032256 (= 6√2670) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.612 × |
96120 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand one hundred and twenty |
| Binary (base 2) | 10111011101111000 |
| Octal (base 8) | 273570 |
| Hexadecimal (base 16) | 17778 |
| Base 3 | 11212212000 |
| As time | 96120 seconds = 26 h 42 min 0 s |
Is 96120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96120 ÷ 2 = 48060) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96120 ÷ 3 = 32040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96120 ÷ 4 = 24030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96120 ÷ 5 = 19224) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96120 ÷ 6 = 16020) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (96120 ÷ 8 = 12015) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (96120 ÷ 9 = 10680) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (96120 ÷ 10 = 9612) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96120 ÷ 12 = 8010) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96120 a prime number?
No. 96120 = × × 5 × 89, so it is divisible by 2.
What are the factors of 96120?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 27, 30, 36, 40, 45, 54, 60, 72, 89, 90, 108, 120, 135, 178, 180, 216, 267, 270, 356, 360, 445, 534, 540, 712, 801, 890, 1068, 1080, 1335, 1602, 1780, 2136, 2403, 2670, 3204, 3560, 4005, 4806, 5340, 6408, 8010, 9612, 10680, 12015, 16020, 19224, 24030, 32040, 48060, 96120.
What is 96120 in binary?
10111011101111000 (hexadecimal 17778, octal 273570).
What is the square root of 96120?
About 310.0323, exactly 6√2670.
Is 96120 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 96120?
96120 is a Harshad number: divisible by its digit sum 18.