The number 36240
36240 is a composite number with 40 divisors. Its prime factorisation is × 3 × 5 × 151. Divisors (40): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48 … 36240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 36240: a Harshad number: divisible by its digit sum 15.
- 2
36240 is composite. Its prime factorisation is
- 3
The divisors add up to 113088; without 36240 itself that is 76848, so 36240 is abundant (76848 is more than 36240). Euler's totient φ(36240) = 9600 numbers up to 36240 share no factor with it.
- 4
The digits of 36240 add up to 15, and repeating that until one digit is left gives the digital root 6. The Collatz sequence (halve if even, else 3n+1) takes 67 steps to reach 1.
LaTeX source of the formulas on this page
\[ 36240 = 2^{4} \times 3 \times 5 \times 151 \]36240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 113088 |
| Euler totient φ(n) | 9600 |
| Square | 1313337600 |
| Cube | 47595354624000 |
| Square root | 190.368065 (= 4√2265) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 67 |
| Scientific notation | 3.624 × |
36240 in other forms
| Form | Value |
|---|---|
| In words | thirty-six thousand two hundred and forty |
| Binary (base 2) | 1000110110010000 |
| Octal (base 8) | 106620 |
| Hexadecimal (base 16) | 8D90 |
| Base 3 | 1211201020 |
| As time | 36240 seconds = 10 h 4 min 0 s |
Is 36240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (36240 ÷ 2 = 18120) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (36240 ÷ 3 = 12080) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (36240 ÷ 4 = 9060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (36240 ÷ 5 = 7248) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (36240 ÷ 6 = 6040) | 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 | Yes (36240 ÷ 8 = 4530) | 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 (36240 ÷ 10 = 3624) | 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 | Yes (36240 ÷ 12 = 3020) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 36240 a prime number?
No. 36240 = × 3 × 5 × 151, so it is divisible by 2.
What are the factors of 36240?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 151, 240, 302, 453, 604, 755, 906, 1208, 1510, 1812, 2265, 2416, 3020, 3624, 4530, 6040, 7248, 9060, 12080, 18120, 36240.
What is 36240 in binary?
1000110110010000 (hexadecimal 8D90, octal 106620).
What is the square root of 36240?
About 190.3681, exactly 4√2265.
Is 36240 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 36240?
36240 is a Harshad number: divisible by its digit sum 15.