The number 36020
36020 is a composite number with 12 divisors. Its prime factorisation is × 5 × 1801. Divisors (12): 1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36020: a happy number: repeatedly adding the squares of its digits reaches 1.
- 2
36020 is composite. Its prime factorisation is
- 3
The divisors add up to 75684; without 36020 itself that is 39664, so 36020 is abundant (39664 is more than 36020). Euler's totient φ(36020) = 14400 numbers up to 36020 share no factor with it.
- 4
The digits of 36020 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 41 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36020 = 2^{2} \times 5 \times 1801 \]36020 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 12 |
| Sum of divisors | 75684 |
| Euler totient φ(n) | 14400 |
| Square | 1297440400 |
| Cube | 46733803208000 |
| Square root | 189.789357 (= 2√9005) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 41 |
| Scientific notation | 3.602 × |
36020 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and twenty |
| Binary (base 2) | 1000110010110100 |
| Octal (base 8) | 106264 |
| Hexadecimal (base 16) | 8CB4 |
| Base 3 | 1211102002 |
| As time | 36020 seconds = 10 h 0 min 20 s |
Is 36020 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36020 ÷ 2 = 18010) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 2) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36020 ÷ 4 = 9005) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36020 ÷ 5 = 7204) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 2) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | 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 2) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (36020 ÷ 10 = 3602) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 6) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 8) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36020 a prime number?
No. 36020 = × 5 × 1801, so it is divisible by 2.
What are the factors of 36020?
1, 2, 4, 5, 10, 20, 1801, 3602, 7204, 9005, 18010, 36020.
What is 36020 in binary?
1000110010110100 (hexadecimal 8CB4, octal 106264).
What is the square root of 36020?
About 189.7894, exactly 2√9005.
Is 36020 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 36020?
36020 is a happy number: repeatedly adding the squares of its digits reaches 1.