The number 73640
73640 is a composite number with 32 divisors. Its prime factorisation is × 5 × 7 × 263. Divisors (32): 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 263 … 73640.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73640: a Harshad number: divisible by its digit sum 20.
- 2
73640 is composite. Its prime factorisation is
- 3
The divisors add up to 190080; without 73640 itself that is 116440, so 73640 is abundant (116440 is more than 73640). Euler's totient φ(73640) = 25152 numbers up to 73640 share no factor with it.
- 4
The digits of 73640 add up to 20, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 50 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73640 = 2^{3} \times 5 \times 7 \times 263 \]73640 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 190080 |
| Euler totient φ(n) | 25152 |
| Square | 5422849600 |
| Cube | 399338644544000 |
| Square root | 271.366910 (= 2√18410) |
| Digit sum / digital root | 20 / 2 |
| Collatz steps to 1 | 50 |
| Scientific notation | 7.364 × |
73640 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand six hundred and forty |
| Binary (base 2) | 10001111110101000 |
| Octal (base 8) | 217650 |
| Hexadecimal (base 16) | 11FA8 |
| Base 3 | 10202000102 |
| As time | 73640 seconds = 20 h 27 min 20 s |
Is 73640 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73640 ÷ 2 = 36820) | 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 (73640 ÷ 4 = 18410) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (73640 ÷ 5 = 14728) | 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 | Yes (73640 ÷ 7 = 10520) | 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 (73640 ÷ 8 = 9205) | 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 (73640 ÷ 10 = 7364) | 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 73640 a prime number?
No. 73640 = × 5 × 7 × 263, so it is divisible by 2.
What are the factors of 73640?
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 263, 280, 526, 1052, 1315, 1841, 2104, 2630, 3682, 5260, 7364, 9205, 10520, 14728, 18410, 36820, 73640.
What is 73640 in binary?
10001111110101000 (hexadecimal 11FA8, octal 217650).
What is the square root of 73640?
About 271.3669, exactly 2√18410.
Is 73640 divisible by 3?
No. Its digits add up to 20, which is not a multiple of 3.
What is special about the number 73640?
73640 is a Harshad number: divisible by its digit sum 20.