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68209664 = 210591129
BaseRepresentation
bin1000001000011…
…00110000000000
311202100102001212
410010030300000
5114430202124
610433545252
71455525665
oct404146000
9152312055
1068209664
1135558a26
121aa15228
1311192963
1490b7a6c
155ec540e
hex410cc00

68209664 has 44 divisors (see below), whose sum is σ = 138786600. Its totient is φ = 33497088.

The previous prime is 68209657. The next prime is 68209681. The reversal of 68209664 is 46690286.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59852 + ... + 60980.

Almost surely, 268209664 is an apocalyptic number.

68209664 is a gapful number since it is divisible by the number (64) 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 68209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69393300).

68209664 is an abundant number, since it is smaller than the sum of its proper divisors (70576936).

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

68209664 is a wasteful number, since it uses less digits than its factorization.

68209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1190 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The square root of 68209664 is about 8258.9142143505. The cubic root of 68209664 is about 408.5845778889.

The spelling of 68209664 in words is "sixty-eight million, two hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 59 64 118 128 236 256 472 512 944 1024 1129 1888 2258 3776 4516 7552 9032 15104 18064 30208 36128 60416 66611 72256 133222 144512 266444 289024 532888 578048 1065776 1156096 2131552 4263104 8526208 17052416 34104832 68209664