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187948090 = 25112179137
BaseRepresentation
bin10110011001111…
…01110000111010
3111002122202022101
423030331300322
5341103314330
630352214014
74441350421
oct1314756072
9432582271
10187948090
1197101200
1252b3a30a
132cc277b5
141ad662b8
15117784ca
hexb33dc3a

187948090 has 48 divisors (see below), whose sum is σ = 393774696. Its totient is φ = 64317440.

The previous prime is 187948087. The next prime is 187948109. The reversal of 187948090 is 90849781.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 117874449 + 70073641 = 10857^2 + 8371^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 187948090.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16002 + ... + 25138.

Almost surely, 2187948090 is an apocalyptic number.

187948090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

187948090 is an abundant number, since it is smaller than the sum of its proper divisors (205826606).

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

187948090 is a wasteful number, since it uses less digits than its factorization.

187948090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9172 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The square root of 187948090 is about 13709.4161071871. The cubic root of 187948090 is about 572.8127007791.

The spelling of 187948090 in words is "one hundred eighty-seven million, nine hundred forty-eight thousand, ninety".

Divisors: 1 2 5 10 11 17 22 34 55 85 110 121 170 187 242 374 605 935 1210 1870 2057 4114 9137 10285 18274 20570 45685 91370 100507 155329 201014 310658 502535 776645 1005070 1105577 1553290 1708619 2211154 3417238 5527885 8543095 11055770 17086190 18794809 37589618 93974045 187948090