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68601568 = 257267653
BaseRepresentation
bin1000001011011…
…00011011100000
311210002022122211
410011230123200
5120030222233
610450211504
71462050400
oct405543340
9153068584
1068601568
11357a6412
121ab83b94
131129c159
14917a800
1560515cd
hex416c6e0

68601568 has 72 divisors (see below), whose sum is σ = 159698952. Its totient is φ = 28917504.

The previous prime is 68601541. The next prime is 68601581. The reversal of 68601568 is 86510686.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 68601568.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104730 + ... + 105382.

It is an arithmetic number, because the mean of its divisors is an integer number (2218041).

Almost surely, 268601568 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 68601568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79849476).

68601568 is an abundant number, since it is smaller than the sum of its proper divisors (91097384).

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

68601568 is a wasteful number, since it uses less digits than its factorization.

68601568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 729 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 68601568 is about 8282.6063530751. The cubic root of 68601568 is about 409.3656022783.

It can be divided in two parts, 68601 and 568, that added together give a square (69169 = 2632).

The spelling of 68601568 in words is "sixty-eight million, six hundred one thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 67 98 112 134 196 224 268 392 469 536 653 784 938 1072 1306 1568 1876 2144 2612 3283 3752 4571 5224 6566 7504 9142 10448 13132 15008 18284 20896 26264 31997 36568 43751 52528 63994 73136 87502 105056 127988 146272 175004 255976 306257 350008 511952 612514 700016 1023904 1225028 1400032 2143799 2450056 4287598 4900112 8575196 9800224 17150392 34300784 68601568