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206073126 = 23372194099
BaseRepresentation
bin11000100100001…
…10110100100110
3112100202121012000
430102012310212
5410223320001
632240510130
75051410200
oct1422066446
9470677160
10206073126
11a6360876
125901b346
133390267c
141d523770
1513158a86
hexc486d26

206073126 has 96 divisors (see below), whose sum is σ = 560880000. Its totient is φ = 55765584.

The previous prime is 206073113. The next prime is 206073143. The reversal of 206073126 is 621370602.

It is a happy number.

206073126 is a `hidden beast` number, since 2 + 0 + 607 + 31 + 26 = 666.

It is a super-2 number, since 2×2060731262 = 84932266518823752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 206073126.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48225 + ... + 52323.

It is an arithmetic number, because the mean of its divisors is an integer number (5842500).

Almost surely, 2206073126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206073126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280440000).

206073126 is an abundant number, since it is smaller than the sum of its proper divisors (354806874).

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

206073126 is a wasteful number, since it uses less digits than its factorization.

206073126 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4143 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 206073126 is about 14355.2473332925. The cubic root of 206073126 is about 590.6639332360.

The spelling of 206073126 in words is "two hundred six million, seventy-three thousand, one hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 49 54 57 63 98 114 126 133 147 171 189 266 294 342 378 399 441 513 798 882 931 1026 1197 1323 1862 2394 2646 2793 3591 4099 5586 7182 8198 8379 12297 16758 24594 25137 28693 36891 50274 57386 73782 77881 86079 110673 155762 172158 200851 221346 233643 258237 401702 467286 516474 545167 602553 700929 774711 1090334 1205106 1401858 1549422 1635501 1807659 2102787 3271002 3615318 3816169 4205574 4906503 5422977 7632338 9813006 10845954 11448507 14719509 22897014 29439018 34345521 68691042 103036563 206073126