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198540993 = 37210912391
BaseRepresentation
bin10111101010101…
…11111011000001
3111211120221001010
423311113323001
5401311302433
631411231133
74630366500
oct1365277301
9454527033
10198540993
11a2086872
12565a84a9
13321961a1
141c522837
151266be63
hexbd57ec1

198540993 has 24 divisors (see below), whose sum is σ = 310791360. Its totient is φ = 112402080.

The previous prime is 198540971. The next prime is 198541043. The reversal of 198540993 is 399045891.

It is not a de Polignac number, because 198540993 - 26 = 198540929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (198540493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9828 + ... + 22218.

It is an arithmetic number, because the mean of its divisors is an integer number (12949640).

Almost surely, 2198540993 is an apocalyptic number.

It is an amenable number.

198540993 is a deficient number, since it is larger than the sum of its proper divisors (112250367).

198540993 is a wasteful number, since it uses less digits than its factorization.

198540993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12517 (or 12510 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 48.

The square root of 198540993 is about 14090.4575156380. The cubic root of 198540993 is about 583.3780214653.

The spelling of 198540993 in words is "one hundred ninety-eight million, five hundred forty thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 49 109 147 327 763 2289 5341 12391 16023 37173 86737 260211 607159 1350619 1821477 4051857 9454333 28362999 66180331 198540993