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185530041 = 3319503719
BaseRepresentation
bin10110000111011…
…11011010111001
3110221002220101000
423003233122321
5334443430131
630224315213
74411656624
oct1303573271
9427086330
10185530041
11957aa514
1252172b09
132c58bcb8
141a8d6dbb
151144bce6
hexb0ef6b9

185530041 has 32 divisors (see below), whose sum is σ = 290304000. Its totient is φ = 116781264.

The previous prime is 185530021. The next prime is 185530063. The reversal of 185530041 is 140035581.

It is not a de Polignac number, because 185530041 - 29 = 185529529 is a prime.

It is a super-2 number, since 2×1855300412 = 68842792226923362, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 185529987 and 185530014.

It is not an unprimeable number, because it can be changed into a prime (185530001) 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 31 ways as a sum of consecutive naturals, for example, 257680 + ... + 258398.

It is an arithmetic number, because the mean of its divisors is an integer number (9072000).

Almost surely, 2185530041 is an apocalyptic number.

It is an amenable number.

185530041 is a deficient number, since it is larger than the sum of its proper divisors (104773959).

185530041 is a wasteful number, since it uses less digits than its factorization.

185530041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 185530041 is about 13620.9412670344. The cubic root of 185530041 is about 570.3455799130.

The spelling of 185530041 in words is "one hundred eighty-five million, five hundred thirty thousand, forty-one".

Divisors: 1 3 9 19 27 57 171 503 513 719 1509 2157 4527 6471 9557 13581 13661 19413 28671 40983 86013 122949 258039 361657 368847 1084971 3254913 6871483 9764739 20614449 61843347 185530041