The number 23360
23360 is a composite number with 28 divisors. Its prime factorisation is × 5 × 73. Divisors (28): 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 146, 160, 292 … 23360.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
23360 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
23360 is composite. Its prime factorisation is
- 3
The divisors add up to 56388; without 23360 itself that is 33028, so 23360 is abundant (33028 is more than 23360). Euler's totient φ(23360) = 9216 numbers up to 23360 share no factor with it.
- 4
The digits of 23360 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 100 steps to reach 1.
LaTeX source of the formulas on this page
\[ 23360 = 2^{6} \times 5 \times 73 \]23360 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 28 |
| Sum of divisors | 56388 |
| Euler totient φ(n) | 9216 |
| Square | 545689600 |
| Cube | 12747309056000 |
| Square root | 152.839785 (= 8√365) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 100 |
| Scientific notation | 2.336 × |
23360 in other forms
| Form | Value |
|---|---|
| In words | twenty-three thousand three hundred and sixty |
| Binary (base 2) | 101101101000000 |
| Octal (base 8) | 55500 |
| Hexadecimal (base 16) | 5B40 |
| Base 3 | 1012001012 |
| As time | 23360 seconds = 6 h 29 min 20 s |
Is 23360 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (23360 ÷ 2 = 11680) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (23360 ÷ 4 = 5840) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (23360 ÷ 5 = 4672) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | 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 (23360 ÷ 8 = 2920) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (23360 ÷ 10 = 2336) | 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 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 23360 a prime number?
No. 23360 = × 5 × 73, so it is divisible by 2.
What are the factors of 23360?
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 73, 80, 146, 160, 292, 320, 365, 584, 730, 1168, 1460, 2336, 2920, 4672, 5840, 11680, 23360.
What is 23360 in binary?
101101101000000 (hexadecimal 5B40, octal 55500).
What is the square root of 23360?
About 152.8398, exactly 8√365.
Is 23360 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 23360?
It is a composite number with 28 divisors.