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204103206 = 23319331601
BaseRepresentation
bin11000010101001…
…01111000100110
3112020001111222000
430022211320212
5404222300311
632130350130
75025564036
oct1412457046
9466044860
10204103206
11a523583a
125842b346
1333392b38
141d16d8c6
1512dba056
hexc2a5e26

204103206 has 64 divisors (see below), whose sum is σ = 479673600. Its totient is φ = 64152000.

The previous prime is 204103201. The next prime is 204103213. The reversal of 204103206 is 602301402.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204103201) 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 31 ways as a sum of consecutive naturals, for example, 339306 + ... + 339906.

It is an arithmetic number, because the mean of its divisors is an integer number (7494900).

Almost surely, 2204103206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204103206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239836800).

204103206 is an abundant number, since it is smaller than the sum of its proper divisors (275570394).

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

204103206 is a wasteful number, since it uses less digits than its factorization.

204103206 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 204103206 is about 14286.4693329038. The cubic root of 204103206 is about 588.7757877463.

Adding to 204103206 its reverse (602301402), we get a palindrome (806404608).

The spelling of 204103206 in words is "two hundred four million, one hundred three thousand, two hundred six".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 331 342 513 601 662 993 1026 1202 1803 1986 2979 3606 5409 5958 6289 8937 10818 11419 12578 16227 17874 18867 22838 32454 34257 37734 56601 68514 102771 113202 169803 198931 205542 308313 339606 397862 596793 616626 1193586 1790379 3580758 3779689 5371137 7559378 10742274 11339067 22678134 34017201 68034402 102051603 204103206