The number 80240
80240 is a composite number with 40 divisors. Its prime factorisation is × 5 × 17 × 59. Divisors (40): 1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 59, 68, 80, 85, 118 … 80240.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80240 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80240 is composite. Its prime factorisation is
- 3
The divisors add up to 200880; without 80240 itself that is 120640, so 80240 is abundant (120640 is more than 80240). Euler's totient φ(80240) = 29696 numbers up to 80240 share no factor with it.
- 4
The digits of 80240 add up to 14, and repeating that until one digit is left gives the digital root 5. The Collatz sequence (halve if even, else 3n+1) takes 45 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80240 = 2^{4} \times 5 \times 17 \times 59 \]80240 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 200880 |
| Euler totient φ(n) | 29696 |
| Square | 6438457600 |
| Cube | 516621837824000 |
| Square root | 283.266659 (= 4√5015) |
| Digit sum / digital root | 14 / 5 |
| Collatz steps to 1 | 45 |
| Scientific notation | 8.024 × |
80240 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand two hundred and forty |
| Binary (base 2) | 10011100101110000 |
| Octal (base 8) | 234560 |
| Hexadecimal (base 16) | 13970 |
| Base 3 | 11002001212 |
| As time | 80240 seconds = 22 h 17 min 20 s |
Is 80240 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80240 ÷ 2 = 40120) | 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 (80240 ÷ 4 = 20060) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80240 ÷ 5 = 16048) | 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 | 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 (80240 ÷ 8 = 10030) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 5) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (80240 ÷ 10 = 8024) | 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 80240 a prime number?
No. 80240 = × 5 × 17 × 59, so it is divisible by 2.
What are the factors of 80240?
1, 2, 4, 5, 8, 10, 16, 17, 20, 34, 40, 59, 68, 80, 85, 118, 136, 170, 236, 272, 295, 340, 472, 590, 680, 944, 1003, 1180, 1360, 2006, 2360, 4012, 4720, 5015, 8024, 10030, 16048, 20060, 40120, 80240.
What is 80240 in binary?
10011100101110000 (hexadecimal 13970, octal 234560).
What is the square root of 80240?
About 283.2667, exactly 4√5015.
Is 80240 divisible by 3?
No. Its digits add up to 14, which is not a multiple of 3.
What is special about the number 80240?
It is a composite number with 40 divisors.