The number 18960
18960 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 79. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 18960.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18960: a Harshad number: divisible by its digit sum 24.
- 2
18960 is composite. Its prime factorisation is
- 3
The divisors add up to 59520; without 18960 itself that is 40560, so 18960 is abundant (40560 is more than 18960). Euler's totient φ(18960) = 4992 numbers up to 18960 share no factor with it.
- 4
The digits of 18960 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 154 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18960 = 2^{4} \times 3 \times 5 \times 79 \]18960 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 59520 |
| Euler totient φ(n) | 4992 |
| Square | 359481600 |
| Cube | 6815771136000 |
| Square root | 137.695316 (= 4√1185) |
| Digit sum / digital root | 24 / 6 |
| Collatz steps to 1 | 154 |
| Scientific notation | 1.896 × |
18960 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand nine hundred and sixty |
| Binary (base 2) | 100101000010000 |
| Octal (base 8) | 45020 |
| Hexadecimal (base 16) | 4A10 |
| Base 3 | 222000020 |
| As time | 18960 seconds = 5 h 16 min 0 s |
Is 18960 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18960 ÷ 2 = 9480) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18960 ÷ 3 = 6320) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18960 ÷ 4 = 4740) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18960 ÷ 5 = 3792) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18960 ÷ 6 = 3160) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (18960 ÷ 8 = 2370) | 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 (18960 ÷ 10 = 1896) | 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 (18960 ÷ 12 = 1580) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18960 a prime number?
No. 18960 = × 3 × 5 × 79, so it is divisible by 2.
What are the factors of 18960?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 79, 80, 120, 158, 237, 240, 316, 395, 474, 632, 790, 948, 1185, 1264, 1580, 1896, 2370, 3160, 3792, 4740, 6320, 9480, 18960.
What is 18960 in binary?
100101000010000 (hexadecimal 4A10, octal 45020).
What is the square root of 18960?
About 137.6953, exactly 4√1185.
Is 18960 divisible by 3?
Yes. Its digits add up to 24, a multiple of 3.
What is special about the number 18960?
18960 is a Harshad number: divisible by its digit sum 24.