The number 80120
80120 is a composite number with 16 divisors. Its prime factorisation is × 5 × 2003. Divisors (16): 1, 2, 4, 5, 8, 10, 20, 40, 2003, 4006, 8012, 10015, 16024, 20030, 40060, 80120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
80120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
80120 is composite. Its prime factorisation is
- 3
The divisors add up to 180360; without 80120 itself that is 100240, so 80120 is abundant (100240 is more than 80120). Euler's totient φ(80120) = 32032 numbers up to 80120 share no factor with it.
- 4
The digits of 80120 add up to 11, and repeating that until one digit is left gives the digital root 2. The Collatz sequence (halve if even, else 3n+1) takes 68 steps to reach 1.
LaTeX source of the formulas on this page
\[ 80120 = 2^{3} \times 5 \times 2003 \]80120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 16 |
| Sum of divisors | 180360 |
| Euler totient φ(n) | 32032 |
| Square | 6419214400 |
| Cube | 514307457728000 |
| Square root | 283.054765 (= 2√20030) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 68 |
| Scientific notation | 8.012 × |
80120 in other forms
| Form | Value |
|---|---|
| In words | eighty thousand one hundred and twenty |
| Binary (base 2) | 10011100011111000 |
| Octal (base 8) | 234370 |
| Hexadecimal (base 16) | 138F8 |
| Base 3 | 11001220102 |
| As time | 80120 seconds = 22 h 15 min 20 s |
Is 80120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (80120 ÷ 2 = 40060) | 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 (80120 ÷ 4 = 20030) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (80120 ÷ 5 = 16024) | 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 5) | 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 (80120 ÷ 8 = 10015) | 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 (80120 ÷ 10 = 8012) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | 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 80120 a prime number?
No. 80120 = × 5 × 2003, so it is divisible by 2.
What are the factors of 80120?
1, 2, 4, 5, 8, 10, 20, 40, 2003, 4006, 8012, 10015, 16024, 20030, 40060, 80120.
What is 80120 in binary?
10011100011111000 (hexadecimal 138F8, octal 234370).
What is the square root of 80120?
About 283.0548, exactly 2√20030.
Is 80120 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 80120?
It is a composite number with 16 divisors.