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204904540 = 22574313789
BaseRepresentation
bin11000011011010…
…01100001011100
3112021120020012001
430031221201130
5404423421130
632155452044
75035442221
oct1415514134
9467506161
10204904540
11a57328a5
1258757024
13335b37b9
141d2db948
1512ec76ca
hexc36985c

204904540 has 24 divisors (see below), whose sum is σ = 430909920. Its totient is φ = 81845568.

The previous prime is 204904523. The next prime is 204904543. The reversal of 204904540 is 45409402.

It is a super-2 number, since 2×2049045402 = 83971741025223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 204904499 and 204904508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204904543) 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 7 ways as a sum of consecutive naturals, for example, 7966 + ... + 21754.

It is an arithmetic number, because the mean of its divisors is an integer number (17954580).

Almost surely, 2204904540 is an apocalyptic number.

204904540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204904540 is an abundant number, since it is smaller than the sum of its proper divisors (226005380).

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

204904540 is a wasteful number, since it uses less digits than its factorization.

204904540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14541 (or 14539 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 204904540 is about 14314.4870673035. The cubic root of 204904540 is about 589.5453166423.

The spelling of 204904540 in words is "two hundred four million, nine hundred four thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 743 1486 2972 3715 7430 13789 14860 27578 55156 68945 137890 275780 10245227 20490454 40980908 51226135 102452270 204904540