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191664 = 2432113
BaseRepresentation
bin101110110010110000
3100201220200
4232302300
522113124
64035200
71425534
oct566260
9321820
10191664
11121000
1292b00
1369315
144dbc4
153bbc9
hex2ecb0

191664 has 60 divisors (see below), whose sum is σ = 589992. Its totient is φ = 58080.

The previous prime is 191657. The next prime is 191669. The reversal of 191664 is 466191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

191664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (1296) is a multiple of the sum of its prime divisors (16).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 191664.

It is not an unprimeable number, because it can be changed into a prime (191669) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17419 + ... + 17429.

191664 is a Friedman number, since it can be written as 66^4/(11*9), using all its digits and the basic arithmetic operations.

2191664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 191664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294996).

191664 is an abundant number, since it is smaller than the sum of its proper divisors (398328).

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

191664 is a wasteful number, since it uses less digits than its factorization.

191664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 16 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 191664 is about 437.7944723269. The cubic root of 191664 is about 57.6563106726.

The spelling of 191664 in words is "one hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1331 1452 1584 1936 2178 2662 2904 3993 4356 5324 5808 7986 8712 10648 11979 15972 17424 21296 23958 31944 47916 63888 95832 191664