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204066100 = 22527377879
BaseRepresentation
bin11000010100111…
…00110100110100
3112012222122001201
430022130310310
5404220103400
632125502244
75025350620
oct1412346464
9465878051
10204066100
11a520a977
1258411984
133337bc94
141d160180
1512dae06a
hexc29cd34

204066100 has 72 divisors (see below), whose sum is σ = 519827840. Its totient is φ = 68065920.

The previous prime is 204066091. The next prime is 204066101. The reversal of 204066100 is 1660402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204066101) 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 23 ways as a sum of consecutive naturals, for example, 21961 + ... + 29839.

Almost surely, 2204066100 is an apocalyptic number.

204066100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204066100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259913920).

204066100 is an abundant number, since it is smaller than the sum of its proper divisors (315761740).

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

204066100 is a wasteful number, since it uses less digits than its factorization.

204066100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937 (or 7930 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 204066100 is about 14285.1706325126. The cubic root of 204066100 is about 588.7401057354.

The spelling of 204066100 in words is "two hundred four million, sixty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 925 1036 1295 1850 2590 3700 5180 6475 7879 12950 15758 25900 31516 39395 55153 78790 110306 157580 196975 220612 275765 291523 393950 551530 583046 787900 1103060 1166092 1378825 1457615 2040661 2757650 2915230 4081322 5515300 5830460 7288075 8162644 10203305 14576150 20406610 29152300 40813220 51016525 102033050 204066100