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164136 = 2337977
BaseRepresentation
bin101000000100101000
322100011010
4220010220
520223021
63303520
71252350
oct500450
9270133
10164136
11102355
127aba0
135992b
1443b60
1533976
hex28128

164136 has 32 divisors (see below), whose sum is σ = 469440. Its totient is φ = 46848.

The previous prime is 164117. The next prime is 164147. The reversal of 164136 is 631461.

It is a Harshad number since it is a multiple of its sum of digits (21).

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

It is an unprimeable number.

164136 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 321 + ... + 656.

It is an arithmetic number, because the mean of its divisors is an integer number (14670).

2164136 is an apocalyptic number.

It is an amenable number.

164136 is an abundant number, since it is smaller than the sum of its proper divisors (305304).

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

164136 is a wasteful number, since it uses less digits than its factorization.

164136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 989 counting only the distinct ones).

The product of its digits is 432, while the sum is 21.

The square root of 164136 is about 405.1370138607. The cubic root of 164136 is about 54.7521631305.

Adding to 164136 its reverse (631461), we get a palindrome (795597).

It can be divided in two parts, 164 and 136, that added together give a triangular number (300 = T24).

The spelling of 164136 in words is "one hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 977 1954 2931 3908 5862 6839 7816 11724 13678 20517 23448 27356 41034 54712 82068 164136