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187268868 = 22334779467
BaseRepresentation
bin10110010100101…
…11111100000100
3111001101020121000
423022113330010
5340420100433
630325453300
74432521243
oct1312277404
9431336530
10187268868
1196787966
1252871230
132ca4a5a7
141ac2a95a
1511692113
hexb297f04

187268868 has 96 divisors (see below), whose sum is σ = 503193600. Its totient is φ = 60192288.

The previous prime is 187268843. The next prime is 187268869. The reversal of 187268868 is 868862781.

187268868 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (187268869) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 400771 + ... + 401237.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2187268868 is an apocalyptic number.

187268868 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 187268868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251596800).

187268868 is an abundant number, since it is smaller than the sum of its proper divisors (315924732).

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

187268868 is a wasteful number, since it uses less digits than its factorization.

187268868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 598 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The square root of 187268868 is about 13684.6215877532. The cubic root of 187268868 is about 572.1218422694.

The spelling of 187268868 in words is "one hundred eighty-seven million, two hundred sixty-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 79 94 108 141 158 188 237 282 316 423 467 474 564 711 846 934 948 1269 1401 1422 1692 1868 2133 2538 2802 2844 3713 4203 4266 5076 5604 7426 8406 8532 11139 12609 14852 16812 21949 22278 25218 33417 36893 43898 44556 50436 65847 66834 73786 87796 100251 110679 131694 133668 147572 197541 200502 221358 263388 332037 395082 401004 442716 592623 664074 790164 996111 1185246 1328148 1733971 1992222 2370492 3467942 3984444 5201913 6935884 10403826 15605739 20807652 31211478 46817217 62422956 93634434 187268868