The number 40120
40120 is a composite number with 32 divisors. Its prime factorisation is × 5 × 17 × 59. Divisors (32): 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 59, 68, 85, 118, 136, 170 … 40120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
40120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
40120 is composite. Its prime factorisation is
- 3
The divisors add up to 97200; without 40120 itself that is 57080, so 40120 is abundant (57080 is more than 40120). Euler's totient φ(40120) = 14848 numbers up to 40120 share no factor with it.
- 4
The digits of 40120 add up to 7, 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
\[ 40120 = 2^{3} \times 5 \times 17 \times 59 \]40120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 97200 |
| Euler totient φ(n) | 14848 |
| Square | 1609614400 |
| Cube | 64577729728000 |
| Square root | 200.299775 (= 2√10030) |
| Digit sum / digital root | 7 / 7 |
| Collatz steps to 1 | 44 |
| Scientific notation | 4.012 × |
40120 in other forms
| Form | Value |
|---|---|
| In words | forty thousand one hundred and twenty |
| Binary (base 2) | 1001110010111000 |
| Octal (base 8) | 116270 |
| Hexadecimal (base 16) | 9CB8 |
| Base 3 | 2001000221 |
| As time | 40120 seconds = 11 h 8 min 40 s |
Is 40120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40120 ÷ 2 = 20060) | 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 (40120 ÷ 4 = 10030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40120 ÷ 5 = 8024) | 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 3) | 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 (40120 ÷ 8 = 5015) | 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 (40120 ÷ 10 = 4012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 3) | 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 40120 a prime number?
No. 40120 = × 5 × 17 × 59, so it is divisible by 2.
What are the factors of 40120?
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 59, 68, 85, 118, 136, 170, 236, 295, 340, 472, 590, 680, 1003, 1180, 2006, 2360, 4012, 5015, 8024, 10030, 20060, 40120.
What is 40120 in binary?
1001110010111000 (hexadecimal 9CB8, octal 116270).
What is the square root of 40120?
About 200.2998, exactly 2√10030.
Is 40120 divisible by 3?
No. Its digits add up to 7, which is not a multiple of 3.
What is special about the number 40120?
It is a composite number with 32 divisors.