The number 40020
40020 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 23 × 29. Divisors (48): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60 … 40020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 40020: a Harshad number: divisible by its digit sum 6.
- 2
40020 is composite. Its prime factorisation is
- 3
The divisors add up to 120960; without 40020 itself that is 80940, so 40020 is abundant (80940 is more than 40020). Euler's totient φ(40020) = 9856 numbers up to 40020 share no factor with it.
- 4
The digits of 40020 add up to 6, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 31 steps to reach 1.
LaTeX source of the formulas on this page
\[ 40020 = 2^{2} \times 3 \times 5 \times 23 \times 29 \]40020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 120960 |
| Euler totient φ(n) | 9856 |
| Square | 1601600400 |
| Cube | 64096048008000 |
| Square root | 200.049994 (= 2√10005) |
| Digit sum / digital root | 6 / 6 |
| Collatz steps to 1 | 31 |
| Scientific notation | 4.002 × |
40020 in other forms
| Form | Value |
|---|---|
| In words | forty thousand and twenty |
| Binary (base 2) | 1001110001010100 |
| Octal (base 8) | 116124 |
| Hexadecimal (base 16) | 9C54 |
| Base 3 | 2000220020 |
| As time | 40020 seconds = 11 h 7 min 0 s |
Is 40020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (40020 ÷ 2 = 20010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (40020 ÷ 3 = 13340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (40020 ÷ 4 = 10005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (40020 ÷ 5 = 8004) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (40020 ÷ 6 = 6670) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 6) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (40020 ÷ 10 = 4002) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (40020 ÷ 12 = 3335) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 40020 a prime number?
No. 40020 = × 3 × 5 × 23 × 29, so it is divisible by 2.
What are the factors of 40020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 23, 29, 30, 46, 58, 60, 69, 87, 92, 115, 116, 138, 145, 174, 230, 276, 290, 345, 348, 435, 460, 580, 667, 690, 870, 1334, 1380, 1740, 2001, 2668, 3335, 4002, 6670, 8004, 10005, 13340, 20010, 40020.
What is 40020 in binary?
1001110001010100 (hexadecimal 9C54, octal 116124).
What is the square root of 40020?
About 200.0500, exactly 2√10005.
Is 40020 divisible by 3?
Yes. Its digits add up to 6, a multiple of 3.
What is special about the number 40020?
40020 is a Harshad number: divisible by its digit sum 6.