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204377060 = 22517976197
BaseRepresentation
bin11000010111010…
…00101111100100
3112020120102121202
430023220233210
5404310031220
632140302032
75031114326
oct1413505744
9466512552
10204377060
11a5402568
1258541918
133345a694
141d201616
1512e21275
hexc2e8be4

204377060 has 48 divisors (see below), whose sum is σ = 459197424. Its totient is φ = 76136448.

The previous prime is 204377021. The next prime is 204377083. The reversal of 204377060 is 60773402.

204377060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1444 + 204375616 = 38^2 + 14296^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29882 + ... + 36078.

It is an arithmetic number, because the mean of its divisors is an integer number (9566613).

Almost surely, 2204377060 is an apocalyptic number.

204377060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204377060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229598712).

204377060 is an abundant number, since it is smaller than the sum of its proper divisors (254820364).

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

204377060 is a wasteful number, since it uses less digits than its factorization.

204377060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6320 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The square root of 204377060 is about 14296.0505035482. The cubic root of 204377060 is about 589.0389986121.

The spelling of 204377060 in words is "two hundred four million, three hundred seventy-seven thousand, sixty".

Divisors: 1 2 4 5 10 17 20 34 68 85 97 170 194 340 388 485 970 1649 1940 3298 6197 6596 8245 12394 16490 24788 30985 32980 61970 105349 123940 210698 421396 526745 601109 1053490 1202218 2106980 2404436 3005545 6011090 10218853 12022180 20437706 40875412 51094265 102188530 204377060