| Base | Representation |
|---|---|
| bin | 1000011111101… |
| … | …11010000000000 |
| 3 | 11222002202101200 |
| 4 | 10033313100000 |
| 5 | 121221023303 |
| 6 | 11023301200 |
| 7 | 1523522316 |
| oct | 417672000 |
| 9 | 158082350 |
| 10 | 71267328 |
| 11 | 37257220 |
| 12 | 1ba4a800 |
| 13 | 119c3622 |
| 14 | 96720b6 |
| 15 | 63cb3a3 |
| hex | 43f7400 |
71267328 has 264 divisors, whose sum is σ = 242692320. Its totient is φ = 19906560.
The previous prime is 71267323. The next prime is 71267341. The reversal of 71267328 is 82376217.
71267328 is a `hidden beast` number, since 71 + 267 + 328 = 666.
It is a tau number, because it is divible by the number of its divisors (264).
It is a Harshad number since it is a multiple of its sum of digits (36).
Its product of digits (28224) is a multiple of the sum of its prime divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 71267292 and 71267301.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (71267321) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1926126 + ... + 1926162.
Almost surely, 271267328 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 71267328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121346160).
71267328 is an abundant number, since it is smaller than the sum of its proper divisors (171424992).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
71267328 is a wasteful number, since it uses less digits than its factorization.
71267328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 93 (or 72 counting only the distinct ones).
The product of its digits is 28224, while the sum is 36.
The square root of 71267328 is about 8441.9978678036. The cubic root of 71267328 is about 414.6008219508.
Adding to 71267328 its sum of digits (36), we get a square (71267364 = 84422).
Subtracting 71267328 from its reverse (82376217), we obtain a square (11108889 = 33332).
The spelling of 71267328 in words is "seventy-one million, two hundred sixty-seven thousand, three hundred twenty-eight".
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