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68084064 = 253426267
BaseRepresentation
bin1000000111011…
…10000101100000
311202010000210000
410003232011200
5114412142224
610431140000
71454463546
oct403560540
9152100700
1068084064
1135482624
121a974600
131114a739
149083d96
155e9d0c9
hex40ee160

68084064 has 60 divisors (see below), whose sum is σ = 200240964. Its totient is φ = 22693824.

The previous prime is 68084057. The next prime is 68084089. The reversal of 68084064 is 46048086.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10542 + ... + 15725.

Almost surely, 268084064 is an apocalyptic number.

It is an amenable number.

68084064 is an abundant number, since it is smaller than the sum of its proper divisors (132156900).

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

68084064 is a wasteful number, since it uses less digits than its factorization.

68084064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26289 (or 26272 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 68084064 is about 8251.3068055915. The cubic root of 68084064 is about 408.3336371325. Note that the first 3 decimals are identical.

The spelling of 68084064 in words is "sixty-eight million, eighty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 26267 52534 78801 105068 157602 210136 236403 315204 420272 472806 630408 709209 840544 945612 1260816 1418418 1891224 2127627 2521632 2836836 3782448 4255254 5673672 7564896 8510508 11347344 17021016 22694688 34042032 68084064