The number 40060
40060 is a composite number with 12 divisors. Its prime factorisation is × 5 × 2003. Divisors (12): 1, 2, 4, 5, 10, 20, 2003, 4006, 8012, 10015, 20030, 40060.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40060: a Harshad number: divisible by its digit sum 10.
- 2
40060 is composite. Its prime factorisation is
- 3
The divisors add up to 84168; without 40060 itself that is 44108, so 40060 is abundant (44108 is more than 40060). Euler's totient φ(40060) = 16016 numbers up to 40060 share no factor with it.
- 4
The digits of 40060 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40060 = 2^{2} \times 5 \times 2003 \]40060 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 84168 |
| Euler totient φ(n) | 16016 |
| Square | 1604803600 |
| Cube | 64288432216000 |
| Square root | 200.149944 (= 2√10015) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 67 |
| Scientific notation | 4.006 × |
40060 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and sixty |
| Binary (base 2) | 1001110001111100 |
| Octal (base 8) | 116174 |
| Hexadecimal (base 16) | 9C7C |
| Base 3 | 2000221201 |
| As time | 40060 seconds = 11 h 7 min 40 s |
Is 40060 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40060 ÷ 2 = 20030) | 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 (40060 ÷ 4 = 10015) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40060 ÷ 5 = 8012) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40060 ÷ 10 = 4006) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 9) | 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 40060 a prime number?
No. 40060 = × 5 × 2003, so it is divisible by 2.
What are the factors of 40060?
1, 2, 4, 5, 10, 20, 2003, 4006, 8012, 10015, 20030, 40060.
What is 40060 in binary?
1001110001111100 (hexadecimal 9C7C, octal 116174).
What is the square root of 40060?
About 200.1499, exactly 2√10015.
Is 40060 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 40060?
40060 is a Harshad number: divisible by its digit sum 10.