Search a number
-
+
206102124 = 22332517603
BaseRepresentation
bin11000100100011…
…01111001101100
3112100211001222000
430102031321230
5410230231444
632241252300
75051560554
oct1422157154
9470731860
10206102124
11a6380638
1259034090
1333912927
141d530164
1513162469
hexc48de6c

206102124 has 48 divisors (see below), whose sum is σ = 536538240. Its totient is φ = 68418000.

The previous prime is 206102119. The next prime is 206102147. The reversal of 206102124 is 421201602.

206102124 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2061021242 = 84956171034622752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 206102097 and 206102106.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23307 + ... + 30909.

It is an arithmetic number, because the mean of its divisors is an integer number (11177880).

Almost surely, 2206102124 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 206102124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268269120).

206102124 is an abundant number, since it is smaller than the sum of its proper divisors (330436116).

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

206102124 is a wasteful number, since it uses less digits than its factorization.

206102124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7867 (or 7859 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 206102124 is about 14356.2573117091. The cubic root of 206102124 is about 590.6916374297.

Adding to 206102124 its reverse (421201602), we get a palindrome (627303726).

The spelling of 206102124 in words is "two hundred six million, one hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 251 502 753 1004 1506 2259 3012 4518 6777 7603 9036 13554 15206 22809 27108 30412 45618 68427 91236 136854 205281 273708 410562 821124 1908353 3816706 5725059 7633412 11450118 17175177 22900236 34350354 51525531 68700708 103051062 206102124