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68053216 = 2571171389
BaseRepresentation
bin1000000111001…
…10100011100000
311202001110110111
410003212203200
5114410200331
610430341104
71454304610
oct403464340
9152043414
1068053216
1135461430
121a95a794
131113969a
149076a40
155e93db1
hex40e68e0

68053216 has 96 divisors (see below), whose sum is σ = 169827840. Its totient is φ = 26073600.

The previous prime is 68053211. The next prime is 68053229. The reversal of 68053216 is 61235086.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68053211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174750 + ... + 175138.

It is an arithmetic number, because the mean of its divisors is an integer number (1769040).

Almost surely, 268053216 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 68053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84913920).

68053216 is an abundant number, since it is smaller than the sum of its proper divisors (101774624).

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

68053216 is a wasteful number, since it uses less digits than its factorization.

68053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 68053216 is about 8249.4373141445. The cubic root of 68053216 is about 408.2719576038.

The spelling of 68053216 in words is "sixty-eight million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 71 77 88 112 142 154 176 224 284 308 352 389 497 568 616 778 781 994 1136 1232 1556 1562 1988 2272 2464 2723 3112 3124 3976 4279 5446 5467 6224 6248 7952 8558 10892 10934 12448 12496 15904 17116 21784 21868 24992 27619 29953 34232 43568 43736 55238 59906 68464 87136 87472 110476 119812 136928 174944 193333 220952 239624 303809 386666 441904 479248 607618 773332 883808 958496 1215236 1546664 2126663 2430472 3093328 4253326 4860944 6186656 8506652 9721888 17013304 34026608 68053216