The number 69120
69120 is a composite number with 80 divisors. Its prime factorisation is × × 5. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27 … 69120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 69120: a Harshad number: divisible by its digit sum 18.
- 2
69120 is composite. Its prime factorisation is
- 3
The divisors add up to 245520; without 69120 itself that is 176400, so 69120 is abundant (176400 is more than 69120). Euler's totient φ(69120) = 18432 numbers up to 69120 share no factor with it.
- 4
The digits of 69120 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 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 69120 = 2^{9} \times 3^{3} \times 5 \]69120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 245520 |
| Euler totient φ(n) | 18432 |
| Square | 4777574400 |
| Cube | 330225942528000 |
| Square root | 262.906828 (= 48√30) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 6.912 × |
69120 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand one hundred and twenty |
| Binary (base 2) | 10000111000000000 |
| Octal (base 8) | 207000 |
| Hexadecimal (base 16) | 10E00 |
| Base 3 | 10111211000 |
| As time | 69120 seconds = 19 h 12 min 0 s |
Is 69120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (69120 ÷ 2 = 34560) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (69120 ÷ 3 = 23040) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (69120 ÷ 4 = 17280) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (69120 ÷ 5 = 13824) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (69120 ÷ 6 = 11520) | 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 (69120 ÷ 8 = 8640) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (69120 ÷ 9 = 7680) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (69120 ÷ 10 = 6912) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (69120 ÷ 12 = 5760) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 69120 a prime number?
No. 69120 = × × 5, so it is divisible by 2.
What are the factors of 69120?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 27, 30, 32, 36, 40, 45, 48, 54, 60, 64, 72, 80, 90, 96, 108, 120, 128, 135, 144, 160, 180, 192, 216, 240, 256, 270, 288, 320, 360, 384, 432, 480, 512, 540, 576, 640, 720, 768, 864, 960, 1080, 1152, 1280, 1440, 1536, 1728, 1920, 2160, 2304, 2560, 2880, 3456, 3840, 4320, 4608, 5760, 6912, 7680, 8640, 11520, 13824, 17280, 23040, 34560, 69120.
What is 69120 in binary?
10000111000000000 (hexadecimal 10E00, octal 207000).
What is the square root of 69120?
About 262.9068, exactly 48√30.
Is 69120 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 69120?
69120 is a Harshad number: divisible by its digit sum 18.