The number 45480
45480 is a composite number with 32 divisors. Its prime factorisation is × 3 × 5 × 379. Divisors (32): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120 … 45480.
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How to work it out
- 1
45480 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
45480 is composite. Its prime factorisation is
- 3
The divisors add up to 136800; without 45480 itself that is 91320, so 45480 is abundant (91320 is more than 45480). Euler's totient φ(45480) = 12096 numbers up to 45480 share no factor with it.
- 4
The digits of 45480 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 39 steps to reach 1.
LaTeX source of the formulas on this page
\[ 45480 = 2^{3} \times 3 \times 5 \times 379 \]45480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 136800 |
| Euler totient φ(n) | 12096 |
| Square | 2068430400 |
| Cube | 94072214592000 |
| Square root | 213.260404 (= 2√11370) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 39 |
| Scientific notation | 4.548 × |
45480 in other forms
| Form | Value |
|---|---|
| In words | forty-five thousand four hundred and eighty |
| Binary (base 2) | 1011000110101000 |
| Octal (base 8) | 130650 |
| Hexadecimal (base 16) | B1A8 |
| Base 3 | 2022101110 |
| As time | 45480 seconds = 12 h 38 min 0 s |
Is 45480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (45480 ÷ 2 = 22740) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (45480 ÷ 3 = 15160) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (45480 ÷ 4 = 11370) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (45480 ÷ 5 = 9096) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (45480 ÷ 6 = 7580) | 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 (45480 ÷ 8 = 5685) | 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 (45480 ÷ 10 = 4548) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (45480 ÷ 12 = 3790) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 45480 a prime number?
No. 45480 = × 3 × 5 × 379, so it is divisible by 2.
What are the factors of 45480?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 379, 758, 1137, 1516, 1895, 2274, 3032, 3790, 4548, 5685, 7580, 9096, 11370, 15160, 22740, 45480.
What is 45480 in binary?
1011000110101000 (hexadecimal B1A8, octal 130650).
What is the square root of 45480?
About 213.2604, exactly 2√11370.
Is 45480 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 45480?
It is a composite number with 32 divisors.