The number 69840
69840 is a composite number with 60 divisors. Its prime factorisation is × × 5 × 97. Divisors (60): 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30 … 69840.
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How to work it out
- 1
69840 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
69840 is composite. Its prime factorisation is
- 3
The divisors add up to 236964; without 69840 itself that is 167124, so 69840 is abundant (167124 is more than 69840). Euler's totient φ(69840) = 18432 numbers up to 69840 share no factor with it.
- 4
The digits of 69840 add up to 27, 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
\[ 69840 = 2^{4} \times 3^{2} \times 5 \times 97 \]69840 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 60 |
| Sum of divisors | 236964 |
| Euler totient φ(n) | 18432 |
| Square | 4877625600 |
| Cube | 340653371904000 |
| Square root | 264.272587 (= 12√485) |
| Digit sum / digital root | 27 / 9 |
| Collatz steps to 1 | 50 |
| Scientific notation | 6.984 × |
69840 in other forms
| Form | Value |
|---|---|
| In words | sixty-nine thousand eight hundred and forty |
| Binary (base 2) | 10001000011010000 |
| Octal (base 8) | 210320 |
| Hexadecimal (base 16) | 110D0 |
| Base 3 | 10112210200 |
| As time | 69840 seconds = 19 h 24 min 0 s |
Is 69840 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (69840 ÷ 2 = 34920) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (69840 ÷ 3 = 23280) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (69840 ÷ 4 = 17460) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (69840 ÷ 5 = 13968) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (69840 ÷ 6 = 11640) | 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 (69840 ÷ 8 = 8730) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (69840 ÷ 9 = 7760) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (69840 ÷ 10 = 6984) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (69840 ÷ 12 = 5820) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 69840 a prime number?
No. 69840 = × × 5 × 97, so it is divisible by 2.
What are the factors of 69840?
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 97, 120, 144, 180, 194, 240, 291, 360, 388, 485, 582, 720, 776, 873, 970, 1164, 1455, 1552, 1746, 1940, 2328, 2910, 3492, 3880, 4365, 4656, 5820, 6984, 7760, 8730, 11640, 13968, 17460, 23280, 34920, 69840.
What is 69840 in binary?
10001000011010000 (hexadecimal 110D0, octal 210320).
What is the square root of 69840?
About 264.2726, exactly 12√485.
Is 69840 divisible by 3?
Yes. Its digits add up to 27, a multiple of 3.
What is special about the number 69840?
It is a composite number with 60 divisors.