The number 83040
83040 is a composite number with 48 divisors. Its prime factorisation is × 3 × 5 × 173. Divisors (48): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40 … 83040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 83040: a Harshad number: divisible by its digit sum 15.
- 2
83040 is composite. Its prime factorisation is
- 3
The divisors add up to 263088; without 83040 itself that is 180048, so 83040 is abundant (180048 is more than 83040). Euler's totient φ(83040) = 22016 numbers up to 83040 share no factor with it.
- 4
The digits of 83040 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 107 steps to reach 1.
LaTeX source of the formulas on this page
\[ 83040 = 2^{5} \times 3 \times 5 \times 173 \]83040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 48 |
| Sum of divisors | 263088 |
| Euler totient φ(n) | 22016 |
| Square | 6895641600 |
| Cube | 572614078464000 |
| Square root | 288.166618 (= 4√5190) |
| Digit sum / digital root | 15 / 6 |
| Collatz steps to 1 | 107 |
| Scientific notation | 8.304 × |
83040 in other forms
| Form | Value |
|---|---|
| In words | eighty-three thousand and forty |
| Binary (base 2) | 10100010001100000 |
| Octal (base 8) | 242140 |
| Hexadecimal (base 16) | 14460 |
| Base 3 | 11012220120 |
| As time | 83040 seconds = 23 h 4 min 0 s |
Is 83040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (83040 ÷ 2 = 41520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (83040 ÷ 3 = 27680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (83040 ÷ 4 = 20760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (83040 ÷ 5 = 16608) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (83040 ÷ 6 = 13840) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | 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 (83040 ÷ 8 = 10380) | 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 (83040 ÷ 10 = 8304) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 1) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (83040 ÷ 12 = 6920) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 83040 a prime number?
No. 83040 = × 3 × 5 × 173, so it is divisible by 2.
What are the factors of 83040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 173, 240, 346, 480, 519, 692, 865, 1038, 1384, 1730, 2076, 2595, 2768, 3460, 4152, 5190, 5536, 6920, 8304, 10380, 13840, 16608, 20760, 27680, 41520, 83040.
What is 83040 in binary?
10100010001100000 (hexadecimal 14460, octal 242140).
What is the square root of 83040?
About 288.1666, exactly 4√5190.
Is 83040 divisible by 3?
Yes. Its digits add up to 15, a multiple of 3.
What is special about the number 83040?
83040 is a Harshad number: divisible by its digit sum 15.