Search a number
-
+
206136192 = 2734113093
BaseRepresentation
bin11000100100101…
…10001110000000
3112100212210200210
430102112032000
5410232324232
632242114120
75052062103
oct1422261600
9470783623
10206136192
11a63a4199
125904b940
13339252a2
141d53c73a
151316c5cc
hexc496380

206136192 has 64 divisors (see below), whose sum is σ = 560946960. Its totient is φ = 67031040.

The previous prime is 206136191. The next prime is 206136197. The reversal of 206136192 is 291631602.

206136192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (206136191) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9198 + ... + 22290.

Almost surely, 2206136192 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 206136192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280473480).

206136192 is an abundant number, since it is smaller than the sum of its proper divisors (354810768).

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

206136192 is a wasteful number, since it uses less digits than its factorization.

206136192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13151 (or 13139 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 206136192 is about 14357.4437836267. The cubic root of 206136192 is about 590.7241820951.

Adding to 206136192 its reverse (291631602), we get a palindrome (497767794).

The spelling of 206136192 in words is "two hundred six million, one hundred thirty-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 7872 13093 15744 26186 39279 52372 78558 104744 157116 209488 314232 418976 536813 628464 837952 1073626 1256928 1610439 1675904 2147252 2513856 3220878 4294504 5027712 6441756 8589008 12883512 17178016 25767024 34356032 51534048 68712064 103068096 206136192