The number 18480
18480 is a composite number with 80 divisors. Its prime factorisation is × 3 × 5 × 7 × 11. Divisors (80): 1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21 … 18480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 18480: a Harshad number: divisible by its digit sum 21.
- 2
18480 is composite. Its prime factorisation is
- 3
The divisors add up to 71424; without 18480 itself that is 52944, so 18480 is abundant (52944 is more than 18480). Euler's totient φ(18480) = 3840 numbers up to 18480 share no factor with it.
- 4
The digits of 18480 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 35 steps to reach 1.
LaTeX source of the formulas on this page
\[ 18480 = 2^{4} \times 3 \times 5 \times 7 \times 11 \]18480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 71424 |
| Euler totient φ(n) | 3840 |
| Square | 341510400 |
| Cube | 6311112192000 |
| Square root | 135.941164 (= 4√1155) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 35 |
| Scientific notation | 1.848 × |
18480 in other forms
| Form | Value |
|---|---|
| In words | eighteen thousand four hundred and eighty |
| Binary (base 2) | 100100000110000 |
| Octal (base 8) | 44060 |
| Hexadecimal (base 16) | 4830 |
| Base 3 | 221100110 |
| As time | 18480 seconds = 5 h 8 min 0 s |
Is 18480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (18480 ÷ 2 = 9240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (18480 ÷ 3 = 6160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (18480 ÷ 4 = 4620) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (18480 ÷ 5 = 3696) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (18480 ÷ 6 = 3080) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (18480 ÷ 7 = 2640) | 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 (18480 ÷ 8 = 2310) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (18480 ÷ 10 = 1848) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (18480 ÷ 11 = 1680) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (18480 ÷ 12 = 1540) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 18480 a prime number?
No. 18480 = × 3 × 5 × 7 × 11, so it is divisible by 2.
What are the factors of 18480?
1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 14, 15, 16, 20, 21, 22, 24, 28, 30, 33, 35, 40, 42, 44, 48, 55, 56, 60, 66, 70, 77, 80, 84, 88, 105, 110, 112, 120, 132, 140, 154, 165, 168, 176, 210, 220, 231, 240, 264, 280, 308, 330, 336, 385, 420, 440, 462, 528, 560, 616, 660, 770, 840, 880, 924, 1155, 1232, 1320, 1540, 1680, 1848, 2310, 2640, 3080, 3696, 4620, 6160, 9240, 18480.
What is 18480 in binary?
100100000110000 (hexadecimal 4830, octal 44060).
What is the square root of 18480?
About 135.9412, exactly 4√1155.
Is 18480 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 18480?
18480 is a Harshad number: divisible by its digit sum 21.