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204836128 = 2571753791
BaseRepresentation
bin11000011010110…
…00110100100000
3112021102202100021
430031120310200
5404414224003
632154203224
75035035610
oct1415306440
9467382307
10204836128
11a5696462
1258723514
133358b613
141d2c0a40
1512eb22bd
hexc358d20

204836128 has 48 divisors (see below), whose sum is σ = 488001024. Its totient is φ = 82621440.

The previous prime is 204836113. The next prime is 204836129. The reversal of 204836128 is 821638402.

204836128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 204836093 and 204836102.

It is not an unprimeable number, because it can be changed into a prime (204836129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23088 + ... + 30703.

It is an arithmetic number, because the mean of its divisors is an integer number (10166688).

Almost surely, 2204836128 is an apocalyptic number.

204836128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

204836128 is an abundant number, since it is smaller than the sum of its proper divisors (283164896).

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

204836128 is a wasteful number, since it uses less digits than its factorization.

204836128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53825 (or 53817 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 204836128 is about 14312.0972607092. The cubic root of 204836128 is about 589.4796983409.

The spelling of 204836128 in words is "two hundred four million, eight hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 476 544 952 1904 3808 53791 107582 215164 376537 430328 753074 860656 914447 1506148 1721312 1828894 3012296 3657788 6024592 6401129 7315576 12049184 12802258 14631152 25604516 29262304 51209032 102418064 204836128