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71076096 = 2833713113
BaseRepresentation
bin1000011110010…
…00100100000000
311221202001002000
410033020210000
5121143413341
611015224000
71522064640
oct417104400
9157661060
1071076096
1137136583
121b978000
1311957580
149622520
15638e8b6
hex43c8900

71076096 has 288 divisors, whose sum is σ = 260977920. Its totient is φ = 18579456.

The previous prime is 71076073. The next prime is 71076097. The reversal of 71076096 is 69067017.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×710760962 = 10103622845202432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 71076096.

It is not an unprimeable number, because it can be changed into a prime (71076097) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 628936 + ... + 629048.

Almost surely, 271076096 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 71076096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130488960).

71076096 is an abundant number, since it is smaller than the sum of its proper divisors (189901824).

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

71076096 is a wasteful number, since it uses less digits than its factorization.

71076096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 71076096 is about 8430.6640307867. The cubic root of 71076096 is about 414.2296562392.

It can be divided in two parts, 7107 and 6096, that added together give a triangular number (13203 = T162).

The spelling of 71076096 in words is "seventy-one million, seventy-six thousand, ninety-six".