The number 82020
82020 is a composite number with 24 divisors. Its prime factorisation is × 3 × 5 × 1367. Divisors (24): 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1367, 2734, 4101, 5468 … 82020.
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How to work it out
- 1
What is special about 82020: a Harshad number: divisible by its digit sum 12.
- 2
82020 is composite. Its prime factorisation is
- 3
The divisors add up to 229824; without 82020 itself that is 147804, so 82020 is abundant (147804 is more than 82020). Euler's totient φ(82020) = 21856 numbers up to 82020 share no factor with it.
- 4
The digits of 82020 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 63 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82020 = 2^{2} \times 3 \times 5 \times 1367 \]82020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 229824 |
| Euler totient φ(n) | 21856 |
| Square | 6727280400 |
| Cube | 551771538408000 |
| Square root | 286.391341 (= 2√20505) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 63 |
| Scientific notation | 8.202 × |
82020 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand and twenty |
| Binary (base 2) | 10100000001100100 |
| Octal (base 8) | 240144 |
| Hexadecimal (base 16) | 14064 |
| Base 3 | 11011111210 |
| As time | 82020 seconds = 22 h 47 min 0 s |
Is 82020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82020 ÷ 2 = 41010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82020 ÷ 3 = 27340) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82020 ÷ 4 = 20505) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (82020 ÷ 5 = 16404) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82020 ÷ 6 = 13670) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (82020 ÷ 10 = 8202) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82020 ÷ 12 = 6835) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82020 a prime number?
No. 82020 = × 3 × 5 × 1367, so it is divisible by 2.
What are the factors of 82020?
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1367, 2734, 4101, 5468, 6835, 8202, 13670, 16404, 20505, 27340, 41010, 82020.
What is 82020 in binary?
10100000001100100 (hexadecimal 14064, octal 240144).
What is the square root of 82020?
About 286.3913, exactly 2√20505.
Is 82020 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 82020?
82020 is a Harshad number: divisible by its digit sum 12.