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166130154 = 232172997193
BaseRepresentation
bin10011110011011…
…11000111101010
3102120121021201200
421321233013222
5320012131104
624252425030
74055040321
oct1171570752
9376537650
10166130154
118585a053
1247778176
1328558a88
14180c70b8
15e8b8b39
hex9e6f1ea

166130154 has 96 divisors (see below), whose sum is σ = 400392720. Its totient is φ = 49545216.

The previous prime is 166130149. The next prime is 166130161. The reversal of 166130154 is 451031661.

166130154 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 82901025 + 83229129 = 9105^2 + 9123^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 860682 + ... + 860874.

Almost surely, 2166130154 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166130154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200196360).

166130154 is an abundant number, since it is smaller than the sum of its proper divisors (234262566).

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

166130154 is a wasteful number, since it uses less digits than its factorization.

166130154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 166130154 is about 12889.1486918260. The cubic root of 166130154 is about 549.7300647850.

The spelling of 166130154 in words is "one hundred sixty-six million, one hundred thirty thousand, one hundred fifty-four".

Divisors: 1 2 3 6 9 17 18 29 34 51 58 87 97 102 153 174 193 194 261 291 306 386 493 522 579 582 873 986 1158 1479 1649 1737 1746 2813 2958 3281 3298 3474 4437 4947 5597 5626 6562 8439 8874 9843 9894 11194 14841 16791 16878 18721 19686 25317 29529 29682 33582 37442 47821 50373 50634 56163 59058 95149 95642 100746 112326 143463 168489 190298 285447 286926 318257 336978 430389 542909 570894 636514 856341 860778 954771 1085818 1628727 1712682 1909542 2864313 3257454 4886181 5728626 9229453 9772362 18458906 27688359 55376718 83065077 166130154