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68365568 = 281723683
BaseRepresentation
bin1000001001100…
…10110100000000
311202122022221002
410010302310000
5120000144233
610441151132
71460045345
oct404626400
9152568832
1068365568
1135655077
121aa8b4a8
13112188cb
1491187cc
1560066e8
hex4132d00

68365568 has 72 divisors (see below), whose sum is σ = 150994368. Its totient is φ = 30728192.

The previous prime is 68365541. The next prime is 68365579. The reversal of 68365568 is 86556386.

It is a congruent number.

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, 99755 + ... + 100437.

It is an arithmetic number, because the mean of its divisors is an integer number (2097144).

Almost surely, 268365568 is an apocalyptic number.

68365568 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68365568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75497184).

68365568 is an abundant number, since it is smaller than the sum of its proper divisors (82628800).

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

68365568 is a wasteful number, since it uses less digits than its factorization.

68365568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 725 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 68365568 is about 8268.3473560319. The cubic root of 68365568 is about 408.8956359595.

The spelling of 68365568 in words is "sixty-eight million, three hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 46 64 68 92 128 136 184 256 272 368 391 544 683 736 782 1088 1366 1472 1564 2176 2732 2944 3128 4352 5464 5888 6256 10928 11611 12512 15709 21856 23222 25024 31418 43712 46444 50048 62836 87424 92888 100096 125672 174848 185776 251344 267053 371552 502688 534106 743104 1005376 1068212 1486208 2010752 2136424 2972416 4021504 4272848 8545696 17091392 34182784 68365568