The number 73290
73290 is a composite number with 32 divisors. Its prime factorisation is 2 × 3 × 5 × 7 × 349. Divisors (32): 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210 … 73290.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 73290: a Harshad number: divisible by its digit sum 21.
- 2
73290 is composite. Its prime factorisation is
- 3
The divisors add up to 201600; without 73290 itself that is 128310, so 73290 is abundant (128310 is more than 73290). Euler's totient φ(73290) = 16704 numbers up to 73290 share no factor with it.
- 4
The digits of 73290 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 156 steps to reach 1.
LaTeX source of the formulas on this page
\[ 73290 = 2 \times 3 \times 5 \times 7 \times 349 \]
73290 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 32 |
| Sum of divisors | 201600 |
| Euler totient φ(n) | 16704 |
| Square | 5371424100 |
| Cube | 393671672289000 |
| Square root | 270.721259 |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 156 |
| Scientific notation | 7.329 × |
73290 in other forms
| Form | Value |
|---|---|
| In words | seventy-three thousand two hundred and ninety |
| Binary (base 2) | 10001111001001010 |
| Octal (base 8) | 217112 |
| Hexadecimal (base 16) | 11E4A |
| Base 3 | 10201112110 |
| As time | 73290 seconds = 20 h 21 min 30 s |
Is 73290 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (73290 ÷ 2 = 36645) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (73290 ÷ 3 = 24430) | 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 (73290 ÷ 5 = 14658) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (73290 ÷ 6 = 12215) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | Yes (73290 ÷ 7 = 10470) | 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 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (73290 ÷ 10 = 7329) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 6) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 73290 a prime number?
No. 73290 = 2 × 3 × 5 × 7 × 349, so it is divisible by 2.
What are the factors of 73290?
1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 349, 698, 1047, 1745, 2094, 2443, 3490, 4886, 5235, 7329, 10470, 12215, 14658, 24430, 36645, 73290.
What is 73290 in binary?
10001111001001010 (hexadecimal 11E4A, octal 217112).
What is the square root of 73290?
About 270.7213.
Is 73290 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 73290?
73290 is a Harshad number: divisible by its digit sum 21.