Search a number
-
+
164121642 = 23210388523
BaseRepresentation
bin10011100100001…
…00110000101010
3102102211020120100
421302010300222
5314003343032
624141410230
74032003516
oct1162046052
9372736510
10164121642
1184708023
1246b69976
13280047c9
1417b23146
15e61d97c
hex9c84c2a

164121642 has 24 divisors (see below), whose sum is σ = 359053344. Its totient is φ = 54175464.

The previous prime is 164121641. The next prime is 164121649. The reversal of 164121642 is 246121461.

164121642 is a `hidden beast` number, since 1 + 6 + 4 + 12 + 1 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (164121641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 42408 + ... + 46115.

It is an arithmetic number, because the mean of its divisors is an integer number (14960556).

Almost surely, 2164121642 is an apocalyptic number.

164121642 is an abundant number, since it is smaller than the sum of its proper divisors (194931702).

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

164121642 is a wasteful number, since it uses less digits than its factorization.

164121642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88634 (or 88631 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 164121642 is about 12810.9969167118. The cubic root of 164121642 is about 547.5056657949.

The spelling of 164121642 in words is "one hundred sixty-four million, one hundred twenty-one thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 103 206 309 618 927 1854 88523 177046 265569 531138 796707 1593414 9117869 18235738 27353607 54707214 82060821 164121642