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71116038 = 23272232531
BaseRepresentation
bin1000011110100…
…10010100000110
311221211001212100
410033102110012
5121201203123
611020132530
71522322250
oct417222406
9157731770
1071116038
1137163594
121b997146
131196c7c6
149632cd0
15639b643
hex43d2506

71116038 has 48 divisors (see below), whose sum is σ = 176956416. Its totient is φ = 20219760.

The previous prime is 71116021. The next prime is 71116051. The reversal of 71116038 is 83061117.

It is a congruent number.

It is an unprimeable number.

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, 26833 + ... + 29363.

It is an arithmetic number, because the mean of its divisors is an integer number (3686592).

Almost surely, 271116038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71116038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88478208).

71116038 is an abundant number, since it is smaller than the sum of its proper divisors (105840378).

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

71116038 is a wasteful number, since it uses less digits than its factorization.

71116038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2769 (or 2766 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 71116038 is about 8433.0325506309. The cubic root of 71116038 is about 414.3072353579.

The spelling of 71116038 in words is "seventy-one million, one hundred sixteen thousand, thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 223 446 669 1338 1561 2007 2531 3122 4014 4683 5062 7593 9366 14049 15186 17717 22779 28098 35434 45558 53151 106302 159453 318906 564413 1128826 1693239 3386478 3950891 5079717 7901782 10159434 11852673 23705346 35558019 71116038