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206728912 = 241335881
BaseRepresentation
bin11000101001001…
…10111011010000
3112101222220202101
430110212323100
5410410311122
632302530144
75060111125
oct1424467320
9471886671
10206728912
11a6769545
1259296954
1333aa2000
141d65474c
1513238027
hexc526ed0

206728912 has 40 divisors (see below), whose sum is σ = 433973960. Its totient is φ = 95397120.

The previous prime is 206728897. The next prime is 206728913. The reversal of 206728912 is 219827602.

It can be written as a sum of positive squares in 4 ways, for example, as 31854736 + 174874176 = 5644^2 + 13224^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206728913) 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, 32212 + ... + 38092.

It is an arithmetic number, because the mean of its divisors is an integer number (10849349).

Almost surely, 2206728912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206728912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216986980).

206728912 is an abundant number, since it is smaller than the sum of its proper divisors (227245048).

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

206728912 is an equidigital number, since it uses as much as digits as its factorization.

206728912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5928 (or 5896 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 37.

The square root of 206728912 is about 14378.0705242393. The cubic root of 206728912 is about 591.2898259046.

It can be divided in two parts, 20672 and 8912, that added together give a square (29584 = 1722).

The spelling of 206728912 in words is "two hundred six million, seven hundred twenty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2197 2704 4394 5881 8788 11762 17576 23524 35152 47048 76453 94096 152906 305812 611624 993889 1223248 1987778 3975556 7951112 12920557 15902224 25841114 51682228 103364456 206728912