The number 35640
35640 is a composite number with 80 divisors. Its prime factorisation is × × 5 × 11. Divisors (80): 1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24 … 35640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 35640: a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.
- 2
35640 is composite. Its prime factorisation is
- 3
The divisors add up to 130680; without 35640 itself that is 95040, so 35640 is abundant (95040 is more than 35640). Euler's totient φ(35640) = 8640 numbers up to 35640 share no factor with it.
- 4
The digits of 35640 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 98 steps to reach 1.
LaTeX source of the formulas on this page
\[ 35640 = 2^{3} \times 3^{4} \times 5 \times 11 \]35640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 80 |
| Sum of divisors | 130680 |
| Euler totient φ(n) | 8640 |
| Square | 1270209600 |
| Cube | 45270270144000 |
| Square root | 188.785593 (= 18√110) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 98 |
| Scientific notation | 3.564 × |
35640 in other forms
| Form | Value |
|---|---|
| In words | thirty-five thousand six hundred and forty |
| Binary (base 2) | 1000101100111000 |
| Octal (base 8) | 105470 |
| Hexadecimal (base 16) | 8B38 |
| Base 3 | 1210220000 |
| As time | 35640 seconds = 9 h 54 min 0 s |
Is 35640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (35640 ÷ 2 = 17820) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (35640 ÷ 3 = 11880) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (35640 ÷ 4 = 8910) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (35640 ÷ 5 = 7128) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (35640 ÷ 6 = 5940) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (35640 ÷ 8 = 4455) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (35640 ÷ 9 = 3960) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (35640 ÷ 10 = 3564) | A number is divisible by 10 if the last digit is 0. |
| 11 | Yes (35640 ÷ 11 = 3240) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (35640 ÷ 12 = 2970) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 35640 a prime number?
No. 35640 = × × 5 × 11, so it is divisible by 2.
What are the factors of 35640?
1, 2, 3, 4, 5, 6, 8, 9, 10, 11, 12, 15, 18, 20, 22, 24, 27, 30, 33, 36, 40, 44, 45, 54, 55, 60, 66, 72, 81, 88, 90, 99, 108, 110, 120, 132, 135, 162, 165, 180, 198, 216, 220, 264, 270, 297, 324, 330, 360, 396, 405, 440, 495, 540, 594, 648, 660, 792, 810, 891, 990, 1080, 1188, 1320, 1485, 1620, 1782, 1980, 2376, 2970, 3240, 3564, 3960, 4455, 5940, 7128, 8910, 11880, 17820, 35640.
What is 35640 in binary?
1000101100111000 (hexadecimal 8B38, octal 105470).
What is the square root of 35640?
About 188.7856, exactly 18√110.
Is 35640 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 35640?
35640 is a happy number: repeatedly adding the squares of its digits reaches 1; a Harshad number: divisible by its digit sum 18.