The number 96720
96720 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 13 × 31. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30 … 96720.
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How to work it out
- 1
What is special about 96720: a Harshad number: divisible by its digit sum 24.
- 2
96720 is composite. Its prime factorisation is
- 3
The divisors add up to 333312; without 96720 itself that is 236592, so 96720 is abundant (236592 is more than 96720). Euler's totient φ(96720) = 23040 numbers up to 96720 share no factor with it.
- 4
The digits of 96720 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 97 steps to reach 1.
LaTeX source of the formulas on this page
\[ 96720 = 2^{4} \times 3 \times 5 \times 13 \times 31 \]96720 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 333312 |
| Euler totient φ(n) | 23040 |
| Square | 9354758400 |
| Cube | 904792232448000 |
| Square root | 310.998392 (= 4√6045) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 97 |
| Scientific notation | 9.672 × |
96720 in other forms
| Form | Value |
|---|---|
| In words | ninety-six thousand seven hundred and twenty |
| Binary (base 2) | 10111100111010000 |
| Octal (base 8) | 274720 |
| Hexadecimal (base 16) | 179D0 |
| Base 3 | 11220200020 |
| As time | 96720 seconds = 26 h 52 min 0 s |
Is 96720 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (96720 ÷ 2 = 48360) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (96720 ÷ 3 = 32240) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (96720 ÷ 4 = 24180) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (96720 ÷ 5 = 19344) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (96720 ÷ 6 = 16120) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 1) | 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 (96720 ÷ 8 = 12090) | 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 (96720 ÷ 10 = 9672) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (96720 ÷ 12 = 8060) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 96720 a prime number?
No. 96720 = × 3 × 5 × 13 × 31, so it is divisible by 2.
What are the factors of 96720?
1, 2, 3, 4, 5, 6, 8, 10, 12, 13, 15, 16, 20, 24, 26, 30, 31, 39, 40, 48, 52, 60, 62, 65, 78, 80, 93, 104, 120, 124, 130, 155, 156, 186, 195, 208, 240, 248, 260, 310, 312, 372, 390, 403, 465, 496, 520, 620, 624, 744, 780, 806, 930, 1040, 1209, 1240, 1488, 1560, 1612, 1860, 2015, 2418, 2480, 3120, 3224, 3720, 4030, 4836, 6045, 6448, 7440, 8060, 9672, 12090, 16120, 19344, 24180, 32240, 48360, 96720.
What is 96720 in binary?
10111100111010000 (hexadecimal 179D0, octal 274720).
What is the square root of 96720?
About 310.9984, exactly 4√6045.
Is 96720 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 96720?
96720 is a Harshad number: divisible by its digit sum 24.