The number 20020
20020 is a composite number with 48 divisors. Its prime factorisation is × 5 × 7 × 11 × 13. Divisors (48): 1, 2, 4, 5, 7, 10, 11, 13, 14, 20, 22, 26, 28, 35, 44, 52 … 20020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 20020: a Harshad number: divisible by its digit sum 4.
- 2
20020 is composite. Its prime factorisation is
- 3
The divisors add up to 56448; without 20020 itself that is 36428, so 20020 is abundant (36428 is more than 20020). Euler's totient φ(20020) = 5760 numbers up to 20020 share no factor with it.
- 4
The digits of 20020 add up to 4, and repeating that until one digit is left gives the digital root 4. The Collatz sequence (halve if even, else 3n+1) takes 30 steps to reach 1.
LaTeX source of the formulas on this page
\[ 20020 = 2^{2} \times 5 \times 7 \times 11 \times 13 \]20020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 56448 |
| Euler totient φ(n) | 5760 |
| Square | 400800400 |
| Cube | 8024024008000 |
| Square root | 141.492049 (= 2√5005) |
| Digit sum / digital root | 4 / 4 |
| Collatz steps to 1 | 30 |
| Scientific notation | 2.002 × |
20020 in other forms
| Form | Value |
|---|---|
| In words | twenty thousand and twenty |
| Binary (base 2) | 100111000110100 |
| Octal (base 8) | 47064 |
| Hexadecimal (base 16) | 4E34 |
| Base 3 | 1000110111 |
| As time | 20020 seconds = 5 h 33 min 40 s |
Is 20020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (20020 ÷ 2 = 10010) | 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 (20020 ÷ 4 = 5005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (20020 ÷ 5 = 4004) | 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 | Yes (20020 ÷ 7 = 2860) | 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 4) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (20020 ÷ 10 = 2002) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (20020 ÷ 11 = 1820) | 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 20020 a prime number?
No. 20020 = × 5 × 7 × 11 × 13, so it is divisible by 2.
What are the factors of 20020?
1, 2, 4, 5, 7, 10, 11, 13, 14, 20, 22, 26, 28, 35, 44, 52, 55, 65, 70, 77, 91, 110, 130, 140, 143, 154, 182, 220, 260, 286, 308, 364, 385, 455, 572, 715, 770, 910, 1001, 1430, 1540, 1820, 2002, 2860, 4004, 5005, 10010, 20020.
What is 20020 in binary?
100111000110100 (hexadecimal 4E34, octal 47064).
What is the square root of 20020?
About 141.4920, exactly 2√5005.
Is 20020 divisible by 3?
No. Its digits add up to 4, which is not a multiple of 3.
What is special about the number 20020?
20020 is a Harshad number: divisible by its digit sum 4.