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204020829 = 3329673889
BaseRepresentation
bin11000010100100…
…01110001011101
3112012220022222000
430022101301131
5404212131304
632124512513
75025101625
oct1412216135
9465808860
10204020829
11a5189961
12583ab739
13333644ac
141d14b885
1512da0939
hexc291c5d

204020829 has 32 divisors (see below), whose sum is σ = 317424000. Its totient is φ = 129330432.

The previous prime is 204020821. The next prime is 204020851. The reversal of 204020829 is 928020402.

It is not a de Polignac number, because 204020829 - 23 = 204020821 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204020821) 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, 50517 + ... + 54405.

It is an arithmetic number, because the mean of its divisors is an integer number (9919500).

Almost surely, 2204020829 is an apocalyptic number.

204020829 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

204020829 is a deficient number, since it is larger than the sum of its proper divisors (113403171).

204020829 is a wasteful number, since it uses less digits than its factorization.

204020829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3994 (or 3988 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 204020829 is about 14283.5859993210. The cubic root of 204020829 is about 588.6965662083.

The spelling of 204020829 in words is "two hundred four million, twenty thousand, eight hundred twenty-nine".

Divisors: 1 3 9 27 29 67 87 201 261 603 783 1809 1943 3889 5829 11667 17487 35001 52461 105003 112781 260563 338343 781689 1015029 2345067 3045087 7035201 7556327 22668981 68006943 204020829