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71064656 = 24131492293
BaseRepresentation
bin1000011110001…
…01110001010000
311221201110101022
410033011301100
5121143032111
611015055012
71522016405
oct417056120
9157643338
1071064656
1137128a23
121b971468
13119522c0
14961c2ac
15638b2db
hex43c5c50

71064656 has 40 divisors (see below), whose sum is σ = 149339400. Its totient is φ = 32564736.

The previous prime is 71064649. The next prime is 71064659. The reversal of 71064656 is 65646017.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 69889600 = 1084^2 + 8360^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71064659) 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 7 ways as a sum of consecutive naturals, for example, 29846 + ... + 32138.

It is an arithmetic number, because the mean of its divisors is an integer number (3733485).

Almost surely, 271064656 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 71064656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74669700).

71064656 is an abundant number, since it is smaller than the sum of its proper divisors (78274744).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71064656 is a wasteful number, since it uses less digits than its factorization.

71064656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463 (or 2457 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 71064656 is about 8429.9855278642. The cubic root of 71064656 is about 414.2074310384.

The spelling of 71064656 in words is "seventy-one million, sixty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 16 26 52 104 149 208 298 596 1192 1937 2293 2384 3874 4586 7748 9172 15496 18344 29809 30992 36688 59618 119236 238472 341657 476944 683314 1366628 2733256 4441541 5466512 8883082 17766164 35532328 71064656