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18096768 = 273223683
BaseRepresentation
bin100010100001…
…0001010000000
31021001102002200
41011002022000
514113044033
61443513200
7306551154
oct105021200
937042080
1018096768
11a240408
126088800
133998061
142591064
1518c7013
hex1142280

18096768 has 96 divisors (see below), whose sum is σ = 54419040. Its totient is φ = 5761536.

The previous prime is 18096751. The next prime is 18096769. The reversal of 18096768 is 86769081.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (18096769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26155 + ... + 26837.

It is an arithmetic number, because the mean of its divisors is an integer number (566865).

Almost surely, 218096768 is an apocalyptic number.

18096768 is a gapful number since it is divisible by the number (18) 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 18096768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27209520).

18096768 is an abundant number, since it is smaller than the sum of its proper divisors (36322272).

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

18096768 is a wasteful number, since it uses less digits than its factorization.

18096768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 18096768 is about 4254.0296190788. The cubic root of 18096768 is about 262.5429371941.

The spelling of 18096768 in words is "eighteen million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 276 288 368 384 414 552 576 683 736 828 1104 1152 1366 1472 1656 2049 2208 2732 2944 3312 4098 4416 5464 6147 6624 8196 8832 10928 12294 13248 15709 16392 21856 24588 26496 31418 32784 43712 47127 49176 62836 65568 87424 94254 98352 125672 131136 141381 188508 196704 251344 262272 282762 377016 393408 502688 565524 754032 786816 1005376 1131048 1508064 2010752 2262096 3016128 4524192 6032256 9048384 18096768