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71040008 = 231317231747
BaseRepresentation
bin1000011101111…
…11110000001000
311221200012120102
410032333300020
5121141240013
611014344532
71521554504
oct416776010
9157605512
1071040008
1137111456
121b95b148
1311944010
149613304
156383d58
hex43bfc08

71040008 has 64 divisors (see below), whose sum is σ = 158578560. Its totient is φ = 29500416.

The previous prime is 71040007. The next prime is 71040029. The reversal of 71040008 is 80004017.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (71040001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39791 + ... + 41537.

It is an arithmetic number, because the mean of its divisors is an integer number (2477790).

Almost surely, 271040008 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 71040008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79289280).

71040008 is an abundant number, since it is smaller than the sum of its proper divisors (87538552).

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

71040008 is a wasteful number, since it uses less digits than its factorization.

71040008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1806 (or 1802 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 71040008 is about 8428.5234768612. The cubic root of 71040008 is about 414.1595377259.

The spelling of 71040008 in words is "seventy-one million, forty thousand, eight".

Divisors: 1 2 4 8 13 17 23 26 34 46 52 68 92 104 136 184 221 299 391 442 598 782 884 1196 1564 1747 1768 2392 3128 3494 5083 6988 10166 13976 20332 22711 29699 40181 40664 45422 59398 80362 90844 118796 160724 181688 237592 321448 386087 522353 683077 772174 1044706 1366154 1544348 2089412 2732308 3088696 4178824 5464616 8880001 17760002 35520004 71040008