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168012096 = 2637413049
BaseRepresentation
bin10100000001110…
…10100101000000
3102201010220021020
422000322211000
5321002341341
624401025440
74110036120
oct1200724500
9381126236
10168012096
1186924a7a
1248325280
1328a67555
1418456c80
15eb3b566
hexa03a940

168012096 has 112 divisors (see below), whose sum is σ = 520598400. Its totient is φ = 46817280.

The previous prime is 168012077. The next prime is 168012133. The reversal of 168012096 is 690210861.

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53580 + ... + 56628.

It is an arithmetic number, because the mean of its divisors is an integer number (4648200).

Almost surely, 2168012096 is an apocalyptic number.

168012096 is a gapful number since it is divisible by the number (16) 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 168012096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260299200).

168012096 is an abundant number, since it is smaller than the sum of its proper divisors (352586304).

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

168012096 is a wasteful number, since it uses less digits than its factorization.

168012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3112 (or 3102 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 168012096 is about 12961.9480017473. The cubic root of 168012096 is about 551.7980777945.

The spelling of 168012096 in words is "one hundred sixty-eight million, twelve thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 164 168 192 224 246 287 328 336 448 492 574 656 672 861 984 1148 1312 1344 1722 1968 2296 2624 3049 3444 3936 4592 6098 6888 7872 9147 9184 12196 13776 18294 18368 21343 24392 27552 36588 42686 48784 55104 64029 73176 85372 97568 125009 128058 146352 170744 195136 250018 256116 292704 341488 375027 500036 512232 585408 682976 750054 875063 1000072 1024464 1365952 1500108 1750126 2000144 2048928 2625189 3000216 3500252 4000288 4097856 5250378 6000432 7000504 8000576 10500756 12000864 14001008 21001512 24001728 28002016 42003024 56004032 84006048 168012096