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204535400 = 23521022677
BaseRepresentation
bin11000011000011…
…11011001101000
3112020212110211012
430030033121220
5404330113100
632143523052
75032344056
oct1414173150
9466773735
10204535400
11a5500523
12585b9488
13334b4784
141d2431d6
1512e53135
hexc30f668

204535400 has 24 divisors (see below), whose sum is σ = 475545270. Its totient is φ = 81814080.

The previous prime is 204535369. The next prime is 204535411. The reversal of 204535400 is 4535402.

It can be written as a sum of positive squares in 3 ways, for example, as 86899684 + 117635716 = 9322^2 + 10846^2 .

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 511139 + ... + 511538.

Almost surely, 2204535400 is an apocalyptic number.

204535400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204535400 is an abundant number, since it is smaller than the sum of its proper divisors (271009870).

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

204535400 is a wasteful number, since it uses less digits than its factorization.

204535400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022693 (or 1022684 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 23.

The square root of 204535400 is about 14301.5873244895. The cubic root of 204535400 is about 589.1910775832.

The spelling of 204535400 in words is "two hundred four million, five hundred thirty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1022677 2045354 4090708 5113385 8181416 10226770 20453540 25566925 40907080 51133850 102267700 204535400