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206308820 = 22565315797
BaseRepresentation
bin11000100110000…
…00010111010100
3112101012120111102
430103000113110
5410303340240
632245525232
75053411304
oct1423002724
9471176442
10206308820
11a6501963
1259113818
1333985a33
141d585604
15131a3815
hexc4c05d4

206308820 has 24 divisors (see below), whose sum is σ = 433939464. Its totient is φ = 82391936.

The previous prime is 206308819. The next prime is 206308829. The reversal of 206308820 is 28803602.

It can be written as a sum of positive squares in 4 ways, for example, as 17960644 + 188348176 = 4238^2 + 13724^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206308829) by changing a digit.

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, 5162 + ... + 20958.

It is an arithmetic number, because the mean of its divisors is an integer number (18080811).

Almost surely, 2206308820 is an apocalyptic number.

206308820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

206308820 is an abundant number, since it is smaller than the sum of its proper divisors (227630644).

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

206308820 is a wasteful number, since it uses less digits than its factorization.

206308820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16459 (or 16457 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 29.

The square root of 206308820 is about 14363.4543199051. The cubic root of 206308820 is about 590.8890360201.

The spelling of 206308820 in words is "two hundred six million, three hundred eight thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 653 1306 2612 3265 6530 13060 15797 31594 63188 78985 157970 315940 10315441 20630882 41261764 51577205 103154410 206308820