The number 71200
71200 is a composite number with 36 divisors. Its prime factorisation is × × 89. Divisors (36): 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 89, 100, 160 … 71200.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71200: a Harshad number: divisible by its digit sum 10.
- 2
71200 is composite. Its prime factorisation is
- 3
The divisors add up to 175770; without 71200 itself that is 104570, so 71200 is abundant (104570 is more than 71200). Euler's totient φ(71200) = 28160 numbers up to 71200 share no factor with it.
- 4
The digits of 71200 add up to 10, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71200 = 2^{5} \times 5^{2} \times 89 \]71200 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 175770 |
| Euler totient φ(n) | 28160 |
| Square | 5069440000 |
| Cube | 360944128000000 |
| Square root | 266.833281 (= 20√178) |
| Digit sum / digital root | 10 / 1 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.12 × |
71200 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand two hundred |
| Binary (base 2) | 10001011000100000 |
| Octal (base 8) | 213040 |
| Hexadecimal (base 16) | 11620 |
| Base 3 | 10121200001 |
| As time | 71200 seconds = 19 h 46 min 40 s |
Is 71200 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71200 ÷ 2 = 35600) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71200 ÷ 4 = 17800) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71200 ÷ 5 = 14240) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 4) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 3) | 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 (71200 ÷ 8 = 8900) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 1) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71200 ÷ 10 = 7120) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 8) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 4) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71200 a prime number?
No. 71200 = × × 89, so it is divisible by 2.
What are the factors of 71200?
1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 89, 100, 160, 178, 200, 356, 400, 445, 712, 800, 890, 1424, 1780, 2225, 2848, 3560, 4450, 7120, 8900, 14240, 17800, 35600, 71200.
What is 71200 in binary?
10001011000100000 (hexadecimal 11620, octal 213040).
What is the square root of 71200?
About 266.8333, exactly 20√178.
Is 71200 divisible by 3?
No. Its digits add up to 10, which is not a multiple of 3.
What is special about the number 71200?
71200 is a Harshad number: divisible by its digit sum 10.