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204938980 = 22519353093
BaseRepresentation
bin11000011011100…
…01111011100100
3112021121222102121
430031301323210
5404431021410
632200315324
75035644511
oct1415617344
9467558377
10204938980
11a5756764
1258772b44
13335c638c
141d30a308
1512ed29da
hexc371ee4

204938980 has 24 divisors (see below), whose sum is σ = 432609912. Its totient is φ = 81549312.

The previous prime is 204938977. The next prime is 204938983. The reversal of 204938980 is 89839402.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (204938977) and next prime (204938983).

It can be written as a sum of positive squares in 4 ways, for example, as 20848356 + 184090624 = 4566^2 + 13568^2 .

It is not an unprimeable number, because it can be changed into a prime (204938983) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22687 + ... + 30406.

It is an arithmetic number, because the mean of its divisors is an integer number (18025413).

Almost surely, 2204938980 is an apocalyptic number.

204938980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204938980 is an abundant number, since it is smaller than the sum of its proper divisors (227670932).

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

204938980 is a wasteful number, since it uses less digits than its factorization.

204938980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53295 (or 53293 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 43.

The square root of 204938980 is about 14315.6899938494. The cubic root of 204938980 is about 589.5783447104.

The spelling of 204938980 in words is "two hundred four million, nine hundred thirty-eight thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 20 193 386 772 965 1930 3860 53093 106186 212372 265465 530930 1061860 10246949 20493898 40987796 51234745 102469490 204938980