The number 40520
40520 is a composite number with 16 divisors. Its prime factorisation is × 5 × 1013. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 1013, 2026, 4052, 5065, 8104, 10130, 20260, 40520.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40520 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40520 is composite. Its prime factorisation is
- 3
The divisors add up to 91260; without 40520 itself that is 50740, so 40520 is abundant (50740 is more than 40520). Euler's totient φ(40520) = 16192 numbers up to 40520 share no factor with it.
- 4
The digits of 40520 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 75 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40520 = 2^{3} \times 5 \times 1013 \]40520 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 91260 |
| Euler totient φ(n) | 16192 |
| Square | 1641870400 |
| Cube | 66528588608000 |
| Square root | 201.295802 (= 2√10130) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 75 |
| Scientific notation | 4.052 × |
40520 in other forms
| Form | Value |
|---|---|
| In words | forty thousand five hundred and twenty |
| Binary (base 2) | 1001111001001000 |
| Octal (base 8) | 117110 |
| Hexadecimal (base 16) | 9E48 |
| Base 3 | 2001120202 |
| As time | 40520 seconds = 11 h 15 min 20 s |
Is 40520 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40520 ÷ 2 = 20260) | 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 (40520 ÷ 4 = 10130) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40520 ÷ 5 = 8104) | 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 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 (40520 ÷ 8 = 5065) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40520 ÷ 10 = 4052) | 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 40520 a prime number?
No. 40520 = × 5 × 1013, so it is divisible by 2.
What are the factors of 40520?
1, 2, 4, 5, 8, 10, 20, 40, 1013, 2026, 4052, 5065, 8104, 10130, 20260, 40520.
What is 40520 in binary?
1001111001001000 (hexadecimal 9E48, octal 117110).
What is the square root of 40520?
About 201.2958, exactly 2√10130.
Is 40520 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 40520?
It is a composite number with 16 divisors.