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206405128 = 23235919013
BaseRepresentation
bin11000100110101…
…11111000001000
3112101101110121101
430103113320020
5410314431003
632251551144
75054262136
oct1423277010
9471343541
10206405128
11a6568256
125915b4b4
13339ba817
141d5ac756
15131c211d
hexc4d7e08

206405128 has 32 divisors (see below), whose sum is σ = 410702400. Its totient is φ = 97037248.

The previous prime is 206405123. The next prime is 206405137. The reversal of 206405128 is 821504602.

It is a junction number, because it is equal to n+sod(n) for n = 206405096 and 206405105.

It is not an unprimeable number, because it can be changed into a prime (206405123) 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, 1350 + ... + 20362.

It is an arithmetic number, because the mean of its divisors is an integer number (12834450).

Almost surely, 2206405128 is an apocalyptic number.

It is an amenable number.

206405128 is a deficient number, since it is larger than the sum of its proper divisors (204297272).

206405128 is a wasteful number, since it uses less digits than its factorization.

206405128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19101 (or 19097 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 206405128 is about 14366.8064649037. The cubic root of 206405128 is about 590.9809669557.

The spelling of 206405128 in words is "two hundred six million, four hundred five thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 23 46 59 92 118 184 236 472 1357 2714 5428 10856 19013 38026 76052 152104 437299 874598 1121767 1749196 2243534 3498392 4487068 8974136 25800641 51601282 103202564 206405128