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206348128 = 257921197
BaseRepresentation
bin11000100110010…
…01111101100000
3112101021120102021
430103021331200
5410311120003
632250431224
75053634020
oct1423117540
9471246367
10206348128
11a6529448
1259132514
133399a8ac
141d595a80
15131b02bd
hexc4c9f60

206348128 has 24 divisors (see below), whose sum is σ = 464283792. Its totient is φ = 88434816.

The previous prime is 206348123. The next prime is 206348147. The reversal of 206348128 is 821843602.

It is a junction number, because it is equal to n+sod(n) for n = 206348093 and 206348102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206348123) 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 3 ways as a sum of consecutive naturals, for example, 460375 + ... + 460822.

It is an arithmetic number, because the mean of its divisors is an integer number (19345158).

Almost surely, 2206348128 is an apocalyptic number.

206348128 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

206348128 is an abundant number, since it is smaller than the sum of its proper divisors (257935664).

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

206348128 is an equidigital number, since it uses as much as digits as its factorization.

206348128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921214 (or 921206 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 206348128 is about 14364.8225885320. The cubic root of 206348128 is about 590.9265609811.

The spelling of 206348128 in words is "two hundred six million, three hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 921197 1842394 3684788 6448379 7369576 12896758 14739152 25793516 29478304 51587032 103174064 206348128