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68310592 = 267413719
BaseRepresentation
bin1000001001001…
…01011001000000
311202112112111221
410010211121000
5114441414332
610440044424
71456426150
oct404453100
9152475457
1068310592
1135617839
121aa63714
13111c988c
149102760
155ee5297
hex4125640

68310592 has 56 divisors (see below), whose sum is σ = 158739840. Its totient is φ = 28554240.

The previous prime is 68310569. The next prime is 68310611. The reversal of 68310592 is 29501386.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16509 + ... + 20227.

It is an arithmetic number, because the mean of its divisors is an integer number (2834640).

Almost surely, 268310592 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 68310592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79369920).

68310592 is an abundant number, since it is smaller than the sum of its proper divisors (90429248).

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

68310592 is a wasteful number, since it uses less digits than its factorization.

68310592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3779 (or 3769 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 34.

The square root of 68310592 is about 8265.0222020270. The cubic root of 68310592 is about 408.7860024338.

The spelling of 68310592 in words is "sixty-eight million, three hundred ten thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 164 224 287 328 448 574 656 1148 1312 2296 2624 3719 4592 7438 9184 14876 18368 26033 29752 52066 59504 104132 119008 152479 208264 238016 304958 416528 609916 833056 1067353 1219832 1666112 2134706 2439664 4269412 4879328 8538824 9758656 17077648 34155296 68310592