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204906 = 23133771
BaseRepresentation
bin110010000001101010
3101102002010
4302001222
523024111
64220350
71512252
oct620152
9342063
10204906
1112aa49
129a6b6
1372360
1454962
1540aa6
hex3206a

204906 has 32 divisors (see below), whose sum is σ = 459648. Its totient is φ = 60480.

The previous prime is 204887. The next prime is 204913. The reversal of 204906 is 609402.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2851 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (14364).

2204906 is an apocalyptic number.

204906 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 204906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229824).

204906 is an abundant number, since it is smaller than the sum of its proper divisors (254742).

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

204906 is a wasteful number, since it uses less digits than its factorization.

204906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 204906 is about 452.6654393700. The cubic root of 204906 is about 58.9546716862.

Subtracting 204906 from its reverse (609402), we obtain a square (404496 = 6362).

The spelling of 204906 in words is "two hundred four thousand, nine hundred six".

Divisors: 1 2 3 6 13 26 37 39 71 74 78 111 142 213 222 426 481 923 962 1443 1846 2627 2769 2886 5254 5538 7881 15762 34151 68302 102453 204906