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205113402 = 232132321657
BaseRepresentation
bin11000011100111…
…00100000111010
3112021221211200200
430032130200322
5410002112102
632204143030
75040302154
oct1416344072
9467854620
10205113402
11a586580a
1258837a76
13336578a0
141d353ad4
151301951c
hexc39c83a

205113402 has 72 divisors (see below), whose sum is σ = 500613204. Its totient is φ = 60331392.

The previous prime is 205113361. The next prime is 205113407. The reversal of 205113402 is 204311502.

It can be written as a sum of positive squares in 2 ways, for example, as 188540361 + 16573041 = 13731^2 + 4071^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (205113407) 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 35 ways as a sum of consecutive naturals, for example, 122958 + ... + 124614.

Almost surely, 2205113402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205113402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250306602).

205113402 is an abundant number, since it is smaller than the sum of its proper divisors (295499802).

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

205113402 is a wasteful number, since it uses less digits than its factorization.

205113402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 205113402 is about 14321.7806853757. The cubic root of 205113402 is about 589.7455591558.

Adding to 205113402 its reverse (204311502), we get a palindrome (409424904).

The spelling of 205113402 in words is "two hundred five million, one hundred thirteen thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 23 26 39 46 69 78 117 138 207 234 299 414 529 598 897 1058 1587 1657 1794 2691 3174 3314 4761 4971 5382 6877 9522 9942 13754 14913 20631 21541 29826 38111 41262 43082 61893 64623 76222 114333 123786 129246 193869 228666 342999 387738 495443 685998 876553 990886 1486329 1753106 2629659 2972658 4458987 5259318 7888977 8917974 11395189 15777954 22790378 34185567 68371134 102556701 205113402