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206943072 = 25372293741
BaseRepresentation
bin11000101010110…
…11001101100000
3112102101210112020
430111123031200
5410434134242
632311301440
75061662400
oct1425331540
9472353466
10206943072
11a68a5436
125937a880
1333b4862b
141d6ac800
151327b6ec
hexc55b360

206943072 has 288 divisors, whose sum is σ = 687748320. Its totient is φ = 54190080.

The previous prime is 206943017. The next prime is 206943083. The reversal of 206943072 is 270349602.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5047372 + ... + 5047412.

It is an arithmetic number, because the mean of its divisors is an integer number (2388015).

Almost surely, 2206943072 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 206943072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343874160).

206943072 is an abundant number, since it is smaller than the sum of its proper divisors (480805248).

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

206943072 is a wasteful number, since it uses less digits than its factorization.

206943072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 206943072 is about 14385.5160491378. The cubic root of 206943072 is about 591.4939368915.

The spelling of 206943072 in words is "two hundred six million, nine hundred forty-three thousand, seventy-two".