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204786080 = 2551775289
BaseRepresentation
bin11000011010011…
…00100110100000
3112021100012200122
430031030212200
5404411123310
632153135412
75034436652
oct1415144640
9467305618
10204786080
11a56618a4
12586ba568
13335718c5
141d2aa6d2
1512ea2555
hexc34c9a0

204786080 has 48 divisors (see below), whose sum is σ = 512273160. Its totient is φ = 77094912.

The previous prime is 204786079. The next prime is 204786119. The reversal of 204786080 is 80687402.

204786080 is digitally balanced in base 3, 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 4 ways, for example, as 169312144 + 35473936 = 13012^2 + 5956^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 204786080.

It is an unprimeable number.

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, 34925 + ... + 40364.

Almost surely, 2204786080 is an apocalyptic number.

204786080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

204786080 is an abundant number, since it is smaller than the sum of its proper divisors (307487080).

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

204786080 is a wasteful number, since it uses less digits than its factorization.

204786080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75321 (or 75313 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 204786080 is about 14310.3487029492. The cubic root of 204786080 is about 589.4316848657.

The spelling of 204786080 in words is "two hundred four million, seven hundred eighty-six thousand, eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 75289 150578 301156 376445 602312 752890 1204624 1279913 1505780 2409248 2559826 3011560 5119652 6023120 6399565 10239304 12046240 12799130 20478608 25598260 40957216 51196520 102393040 204786080