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164026692 = 223215729021
BaseRepresentation
bin10011100011011…
…01100101000100
3102102122102022200
421301231211010
5313442323232
624135354500
74031126634
oct1161554504
9372572280
10164026692
1184652755
1246b22a30
1327ca051b
1417ada6c4
15e60077c
hex9c6d944

164026692 has 36 divisors (see below), whose sum is σ = 417278316. Its totient is φ = 54325440.

The previous prime is 164026669. The next prime is 164026699. The reversal of 164026692 is 296620461.

164026692 is a `hidden beast` number, since 1 + 640 + 2 + 6 + 6 + 9 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 117158976 + 46867716 = 10824^2 + 6846^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (164026699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8859 + ... + 20162.

Almost surely, 2164026692 is an apocalyptic number.

164026692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

164026692 is an abundant number, since it is smaller than the sum of its proper divisors (253251624).

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

164026692 is a wasteful number, since it uses less digits than its factorization.

164026692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29188 (or 29183 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 164026692 is about 12807.2905799783. The cubic root of 164026692 is about 547.4000618239.

The spelling of 164026692 in words is "one hundred sixty-four million, twenty-six thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 471 628 942 1413 1884 2826 5652 29021 58042 87063 116084 174126 261189 348252 522378 1044756 4556297 9112594 13668891 18225188 27337782 41006673 54675564 82013346 164026692