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68205726 = 235373793
BaseRepresentation
bin1000001000010…
…11110010011110
311202100012200000
410010023302132
5114430040401
610433515130
71455511341
oct404136236
9152305600
1068205726
1135555a76
121aa12aa6
1311190c24
1490b6458
155ec4186
hex410bc9e

68205726 has 48 divisors (see below), whose sum is σ = 157435824. Its totient is φ = 22114944.

The previous prime is 68205713. The next prime is 68205733. The reversal of 68205726 is 62750286.

68205726 is a `hidden beast` number, since 6 + 82 + 0 + 572 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16086 + ... + 19878.

It is an arithmetic number, because the mean of its divisors is an integer number (3279913).

Almost surely, 268205726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68205726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78717912).

68205726 is an abundant number, since it is smaller than the sum of its proper divisors (89230098).

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

68205726 is a wasteful number, since it uses less digits than its factorization.

68205726 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3847 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 68205726 is about 8258.6758018462. The cubic root of 68205726 is about 408.5767146970.

The spelling of 68205726 in words is "sixty-eight million, two hundred five thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 666 999 1998 2997 3793 5994 7586 8991 11379 17982 22758 34137 68274 102411 140341 204822 280682 307233 421023 614466 842046 921699 1263069 1843398 2526138 3789207 7578414 11367621 22735242 34102863 68205726