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187117092 = 223219713853
BaseRepresentation
bin10110010011100…
…10111000100100
3111001002112101200
423021302320210
5340400221332
630322322500
74431316611
oct1311627044
9431075350
10187117092
1196693928
12527b9430
132c9c6496
141abcb508
151166217c
hexb272e24

187117092 has 72 divisors (see below), whose sum is σ = 505028160. Its totient is φ = 58242240.

The previous prime is 187117087. The next prime is 187117127. The reversal of 187117092 is 290711781.

It is a super-2 number, since 2×1871170922 = 70025612237072928, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46638 + ... + 50490.

It is an arithmetic number, because the mean of its divisors is an integer number (7014280).

Almost surely, 2187117092 is an apocalyptic number.

187117092 is a gapful number since it is divisible by the number (12) 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 187117092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252514080).

187117092 is an abundant number, since it is smaller than the sum of its proper divisors (317911068).

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

187117092 is a wasteful number, since it uses less digits than its factorization.

187117092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3953 (or 3948 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 36.

The square root of 187117092 is about 13679.0749687250. The cubic root of 187117092 is about 571.9672377603.

The spelling of 187117092 in words is "one hundred eighty-seven million, one hundred seventeen thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 71 76 114 142 171 213 228 284 342 426 639 684 852 1278 1349 2556 2698 3853 4047 5396 7706 8094 11559 12141 15412 16188 23118 24282 34677 46236 48564 69354 73207 138708 146414 219621 273563 292828 439242 547126 658863 820689 878484 1094252 1317726 1641378 2462067 2635452 3282756 4924134 5197697 9848268 10395394 15593091 20790788 31186182 46779273 62372364 93558546 187117092