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164095960 = 2357586057
BaseRepresentation
bin10011100011111…
…10011111011000
3102102202221100011
421301332133120
5314002032320
624141051304
74031535610
oct1161763730
9372687304
10164095960
118469a7a6
1246b56b34
1327cc5c02
1417b17a40
15e61605a
hex9c7e7d8

164095960 has 32 divisors (see below), whose sum is σ = 421961760. Its totient is φ = 56261376.

The previous prime is 164095937. The next prime is 164095963. The reversal of 164095960 is 69590461.

164095960 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164095963) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 292749 + ... + 293308.

It is an arithmetic number, because the mean of its divisors is an integer number (13186305).

Almost surely, 2164095960 is an apocalyptic number.

164095960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164095960 is an abundant number, since it is smaller than the sum of its proper divisors (257865800).

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

164095960 is a wasteful number, since it uses less digits than its factorization.

164095960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586075 (or 586071 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 164095960 is about 12809.9945355180. The cubic root of 164095960 is about 547.4771061367.

The spelling of 164095960 in words is "one hundred sixty-four million, ninety-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 586057 1172114 2344228 2930285 4102399 4688456 5860570 8204798 11721140 16409596 20511995 23442280 32819192 41023990 82047980 164095960