Search a number
-
+
206493156 = 223259191509
BaseRepresentation
bin11000100111011…
…01010111100100
3112101112221100200
430103231113210
5410330240111
632253510500
75055106602
oct1423552744
9471487320
10206493156
11a6618401
12591a2430
1333a1b8cc
141d5d2872
15131dd256
hexc4ed5e4

206493156 has 72 divisors (see below), whose sum is σ = 534643200. Its totient is φ = 67177920.

The previous prime is 206493109. The next prime is 206493163. The reversal of 206493156 is 651394602.

It is a happy number.

206493156 is a `hidden beast` number, since 2 + 0 + 649 + 3 + 1 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 206493156.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 405430 + ... + 405938.

It is an arithmetic number, because the mean of its divisors is an integer number (7425600).

Almost surely, 2206493156 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 206493156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267321600).

206493156 is an abundant number, since it is smaller than the sum of its proper divisors (328150044).

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

206493156 is a wasteful number, since it uses less digits than its factorization.

206493156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 206493156 is about 14369.8697280108. The cubic root of 206493156 is about 591.0649691947.

The spelling of 206493156 in words is "two hundred six million, four hundred ninety-three thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 177 191 236 354 382 509 531 573 708 764 1018 1062 1146 1527 1719 2036 2124 2292 3054 3438 4581 6108 6876 9162 11269 18324 22538 30031 33807 45076 60062 67614 90093 97219 101421 120124 135228 180186 194438 202842 270279 291657 360372 388876 405684 540558 583314 874971 1081116 1166628 1749942 3499884 5735921 11471842 17207763 22943684 34415526 51623289 68831052 103246578 206493156