The number 71120
71120 is a composite number with 40 divisors. Its prime factorisation is × 5 × 7 × 127. Divisors (40): 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80 … 71120.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
71120 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
71120 is composite. Its prime factorisation is
- 3
The divisors add up to 190464; without 71120 itself that is 119344, so 71120 is abundant (119344 is more than 71120). Euler's totient φ(71120) = 24192 numbers up to 71120 share no factor with it.
- 4
The digits of 71120 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 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71120 = 2^{4} \times 5 \times 7 \times 127 \]71120 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 40 |
| Sum of divisors | 190464 |
| Euler totient φ(n) | 24192 |
| Square | 5058054400 |
| Cube | 359728828928000 |
| Square root | 266.683333 (= 4√4445) |
| Digit sum / digital root | 11 / 2 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.112 × |
71120 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand one hundred and twenty |
| Binary (base 2) | 10001010111010000 |
| Octal (base 8) | 212720 |
| Hexadecimal (base 16) | 115D0 |
| Base 3 | 10121120002 |
| As time | 71120 seconds = 19 h 45 min 20 s |
Is 71120 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71120 ÷ 2 = 35560) | 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 (71120 ÷ 4 = 17780) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71120 ÷ 5 = 14224) | 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 (71120 ÷ 7 = 10160) | 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 (71120 ÷ 8 = 8890) | 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 (71120 ÷ 10 = 7112) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | 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 71120 a prime number?
No. 71120 = × 5 × 7 × 127, so it is divisible by 2.
What are the factors of 71120?
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 127, 140, 254, 280, 508, 560, 635, 889, 1016, 1270, 1778, 2032, 2540, 3556, 4445, 5080, 7112, 8890, 10160, 14224, 17780, 35560, 71120.
What is 71120 in binary?
10001010111010000 (hexadecimal 115D0, octal 212720).
What is the square root of 71120?
About 266.6833, exactly 4√4445.
Is 71120 divisible by 3?
No. Its digits add up to 11, which is not a multiple of 3.
What is special about the number 71120?
It is a composite number with 40 divisors.