The number 71040
71040 is a composite number with 64 divisors. Its prime factorisation is × 3 × 5 × 37. Divisors (64): 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37 … 71040.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71040: a Harshad number: divisible by its digit sum 12.
- 2
71040 is composite. Its prime factorisation is
- 3
The divisors add up to 232560; without 71040 itself that is 161520, so 71040 is abundant (161520 is more than 71040). Euler's totient φ(71040) = 18432 numbers up to 71040 share no factor with it.
- 4
The digits of 71040 add up to 12, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 37 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71040 = 2^{7} \times 3 \times 5 \times 37 \]71040 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 64 |
| Sum of divisors | 232560 |
| Euler totient φ(n) | 18432 |
| Square | 5046681600 |
| Cube | 358516260864000 |
| Square root | 266.533300 (= 8√1110) |
| Digit sum / digital root | 12 / 3 |
| Collatz steps to 1 | 37 |
| Scientific notation | 7.104 × |
71040 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand and forty |
| Binary (base 2) | 10001010110000000 |
| Octal (base 8) | 212600 |
| Hexadecimal (base 16) | 11580 |
| Base 3 | 10121110010 |
| As time | 71040 seconds = 19 h 44 min 0 s |
Is 71040 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71040 ÷ 2 = 35520) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71040 ÷ 3 = 23680) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71040 ÷ 4 = 17760) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71040 ÷ 5 = 14208) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71040 ÷ 6 = 11840) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 4) | 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 (71040 ÷ 8 = 8880) | 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 (71040 ÷ 10 = 7104) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 2) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71040 ÷ 12 = 5920) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71040 a prime number?
No. 71040 = × 3 × 5 × 37, so it is divisible by 2.
What are the factors of 71040?
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 37, 40, 48, 60, 64, 74, 80, 96, 111, 120, 128, 148, 160, 185, 192, 222, 240, 296, 320, 370, 384, 444, 480, 555, 592, 640, 740, 888, 960, 1110, 1184, 1480, 1776, 1920, 2220, 2368, 2960, 3552, 4440, 4736, 5920, 7104, 8880, 11840, 14208, 17760, 23680, 35520, 71040.
What is 71040 in binary?
10001010110000000 (hexadecimal 11580, octal 212600).
What is the square root of 71040?
About 266.5333, exactly 8√1110.
Is 71040 divisible by 3?
Yes. Its digits add up to 12, a multiple of 3.
What is special about the number 71040?
71040 is a Harshad number: divisible by its digit sum 12.