The number 40480
40480 is a composite number with 48 divisors. Its prime factorisation is × 5 × 11 × 23. Divisors (48): 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55 … 40480.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40480: a Harshad number: divisible by its digit sum 16.
- 2
40480 is composite. Its prime factorisation is
- 3
The divisors add up to 108864; without 40480 itself that is 68384, so 40480 is abundant (68384 is more than 40480). Euler's totient φ(40480) = 14080 numbers up to 40480 share no factor with it.
- 4
The digits of 40480 add up to 16, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 44 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40480 = 2^{5} \times 5 \times 11 \times 23 \]40480 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 108864 |
| Euler totient φ(n) | 14080 |
| Square | 1638630400 |
| Cube | 66331758592000 |
| Square root | 201.196421 (= 4√2530) |
| Digit sum / digital root | 16 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.048 × |
40480 in other forms
| Form | Value |
|---|---|
| In words | forty thousand four hundred and eighty |
| Binary (base 2) | 1001111000100000 |
| Octal (base 8) | 117040 |
| Hexadecimal (base 16) | 9E20 |
| Base 3 | 2001112021 |
| As time | 40480 seconds = 11 h 14 min 40 s |
Is 40480 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40480 ÷ 2 = 20240) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40480 ÷ 4 = 10120) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40480 ÷ 5 = 8096) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (40480 ÷ 8 = 5060) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40480 ÷ 10 = 4048) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (40480 ÷ 11 = 3680) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40480 a prime number?
No. 40480 = × 5 × 11 × 23, so it is divisible by 2.
What are the factors of 40480?
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 23, 32, 40, 44, 46, 55, 80, 88, 92, 110, 115, 160, 176, 184, 220, 230, 253, 352, 368, 440, 460, 506, 736, 880, 920, 1012, 1265, 1760, 1840, 2024, 2530, 3680, 4048, 5060, 8096, 10120, 20240, 40480.
What is 40480 in binary?
1001111000100000 (hexadecimal 9E20, octal 117040).
What is the square root of 40480?
About 201.1964, exactly 4√2530.
Is 40480 divisible by 3?
No. Its digits add up to 16, which is not a multiple of 3.
What is special about the number 40480?
40480 is a Harshad number: divisible by its digit sum 16.