Search a number
-
+
164697696 = 2532571867
BaseRepresentation
bin10011101000100…
…01011001100000
3102110220111202200
421310101121200
5314130311241
624202013200
74036623132
oct1164213140
9373814680
10164697696
1184a708a9
12471a7200
1328176a77
1417c33052
15e6d44b6
hex9d11660

164697696 has 36 divisors (see below), whose sum is σ = 468359892. Its totient is φ = 54899136.

The previous prime is 164697677. The next prime is 164697703. The reversal of 164697696 is 696796461.

164697696 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 285646 + ... + 286221.

It is an arithmetic number, because the mean of its divisors is an integer number (13009997).

Almost surely, 2164697696 is an apocalyptic number.

164697696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164697696 is an abundant number, since it is smaller than the sum of its proper divisors (303662196).

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

164697696 is a wasteful number, since it uses less digits than its factorization.

164697696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571883 (or 571872 counting only the distinct ones).

The product of its digits is 2939328, while the sum is 54.

The square root of 164697696 is about 12833.4600166907. The cubic root of 164697696 is about 548.1454850198.

The spelling of 164697696 in words is "one hundred sixty-four million, six hundred ninety-seven thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 571867 1143734 1715601 2287468 3431202 4574936 5146803 6862404 9149872 10293606 13724808 18299744 20587212 27449616 41174424 54899232 82348848 164697696