The number 36010
36010 is a composite number with 16 divisors. Its prime factorisation is 2 × 5 × 13 × 277. Divisors (16): 1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36010: a Harshad number: divisible by its digit sum 10.
- 2
36010 is composite. Its prime factorisation is
- 3
The divisors add up to 70056; without 36010 itself that is 34046, so 36010 is deficient (34046 is less than 36010). Euler's totient φ(36010) = 13248 numbers up to 36010 share no factor with it.
- 4
The digits of 36010 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 49 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36010 = 2 \times 5 \times 13 \times 277 \]
36010 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 70056 |
| Euler totient φ(n) | 13248 |
| Square | 1296720100 |
| Cube | 46694890801000 |
| Square root | 189.763010 |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 49 |
| Scientific notation | 3.601 × |
36010 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand and ten |
| Binary (base 2) | 1000110010101010 |
| Octal (base 8) | 106252 |
| Hexadecimal (base 16) | 8CAA |
| Base 3 | 1211101201 |
| As time | 36010 seconds = 10 h 0 min 10 s |
Is 36010 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36010 ÷ 2 = 18005) | 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 | No (remainder 2) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36010 ÷ 5 = 7202) | 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 2) | 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 2) | 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 (36010 ÷ 10 = 3601) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 10) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36010 a prime number?
No. 36010 = 2 × 5 × 13 × 277, so it is divisible by 2.
What are the factors of 36010?
1, 2, 5, 10, 13, 26, 65, 130, 277, 554, 1385, 2770, 3601, 7202, 18005, 36010.
What is 36010 in binary?
1000110010101010 (hexadecimal 8CAA, octal 106252).
What is the square root of 36010?
About 189.7630.
Is 36010 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 36010?
36010 is a Harshad number: divisible by its digit sum 10.