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205660053 = 347334781
BaseRepresentation
bin11000100001000…
…01111110010101
3112022222121120000
430100201332111
5410122110203
632224001513
75045036664
oct1420417625
9468877500
10205660053
11a60a9495
1258a60299
13337b9651
141d456ddb
15130c64a3
hexc421f95

205660053 has 20 divisors (see below), whose sum is σ = 311438028. Its totient is φ = 135224640.

The previous prime is 205660031. The next prime is 205660057. The reversal of 205660053 is 350066502.

205660053 is a `hidden beast` number, since 2 + 0 + 5 + 6 + 600 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93257649 + 112402404 = 9657^2 + 10602^2 .

It is not a de Polignac number, because 205660053 - 29 = 205659541 is a prime.

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 = 205659999 and 205660026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205660057) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 11478 + ... + 23303.

Almost surely, 2205660053 is an apocalyptic number.

It is an amenable number.

205660053 is a deficient number, since it is larger than the sum of its proper divisors (105777975).

205660053 is an equidigital number, since it uses as much as digits as its factorization.

205660053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34866 (or 34857 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 205660053 is about 14340.8525897173. The cubic root of 205660053 is about 590.2690078465.

The spelling of 205660053 in words is "two hundred five million, six hundred sixty thousand, fifty-three".

Divisors: 1 3 9 27 73 81 219 657 1971 5913 34781 104343 313029 939087 2539013 2817261 7617039 22851117 68553351 205660053