The number 71460
71460 is a composite number with 36 divisors. Its prime factorisation is × × 5 × 397. Divisors (36): 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60 … 71460.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 71460: a Harshad number: divisible by its digit sum 18.
- 2
71460 is composite. Its prime factorisation is
- 3
The divisors add up to 217308; without 71460 itself that is 145848, so 71460 is abundant (145848 is more than 71460). Euler's totient φ(71460) = 19008 numbers up to 71460 share no factor with it.
- 4
The digits of 71460 add up to 18, and repeating that until one digit is left gives the digital root 9. The Collatz sequence (halve if even, else 3n+1) takes 143 steps to reach 1.
LaTeX source of the formulas on this page
\[ 71460 = 2^{2} \times 3^{2} \times 5 \times 397 \]71460 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 36 |
| Sum of divisors | 217308 |
| Euler totient φ(n) | 19008 |
| Square | 5106531600 |
| Cube | 364912748136000 |
| Square root | 267.320033 (= 6√1985) |
| Digit sum / digital root | 18 / 9 |
| Collatz steps to 1 | 143 |
| Scientific notation | 7.146 × |
71460 in other forms
| Form | Value |
|---|---|
| In words | seventy-one thousand four hundred and sixty |
| Binary (base 2) | 10001011100100100 |
| Octal (base 8) | 213444 |
| Hexadecimal (base 16) | 11724 |
| Base 3 | 10122000200 |
| As time | 71460 seconds = 19 h 51 min 0 s |
Is 71460 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (71460 ÷ 2 = 35730) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (71460 ÷ 3 = 23820) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (71460 ÷ 4 = 17865) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | Yes (71460 ÷ 5 = 14292) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (71460 ÷ 6 = 11910) | 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 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | Yes (71460 ÷ 9 = 7940) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | Yes (71460 ÷ 10 = 7146) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 4) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (71460 ÷ 12 = 5955) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 71460 a prime number?
No. 71460 = × × 5 × 397, so it is divisible by 2.
What are the factors of 71460?
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180, 397, 794, 1191, 1588, 1985, 2382, 3573, 3970, 4764, 5955, 7146, 7940, 11910, 14292, 17865, 23820, 35730, 71460.
What is 71460 in binary?
10001011100100100 (hexadecimal 11724, octal 213444).
What is the square root of 71460?
About 267.3200, exactly 6√1985.
Is 71460 divisible by 3?
Yes. Its digits add up to 18, a multiple of 3.
What is special about the number 71460?
71460 is a Harshad number: divisible by its digit sum 18.