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118272168 = 23327613847
BaseRepresentation
bin1110000110010…
…11000010101000
322020112211220200
413003023002220
5220234202133
615422552200
72634203550
oct703130250
9266484820
10118272168
11608416a3
1233738660
131b670641
14119ca160
15a5b3913
hex70cb0a8

118272168 has 96 divisors (see below), whose sum is σ = 372178560. Its totient is φ = 33229440.

The previous prime is 118272157. The next prime is 118272173. The reversal of 118272168 is 861272811.

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

It is a nude number because it is divisible by every one of its digits.

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 23 ways as a sum of consecutive naturals, for example, 28821 + ... + 32667.

It is an arithmetic number, because the mean of its divisors is an integer number (3876860).

Almost surely, 2118272168 is an apocalyptic number.

118272168 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 118272168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186089280).

118272168 is an abundant number, since it is smaller than the sum of its proper divisors (253906392).

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

118272168 is a wasteful number, since it uses less digits than its factorization.

118272168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3920 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 118272168 is about 10875.3008234255. The cubic root of 118272168 is about 490.8636275892.

The spelling of 118272168 in words is "one hundred eighteen million, two hundred seventy-two thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 732 854 1098 1281 1464 1708 2196 2562 3416 3843 3847 4392 5124 7686 7694 10248 11541 15372 15388 23082 26929 30744 30776 34623 46164 53858 69246 80787 92328 107716 138492 161574 215432 234667 242361 276984 323148 469334 484722 646296 704001 938668 969444 1408002 1642669 1877336 1938888 2112003 2816004 3285338 4224006 4928007 5632008 6570676 8448012 9856014 13141352 14784021 16896024 19712028 29568042 39424056 59136084 118272168