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164043 = 32111657
BaseRepresentation
bin101000000011001011
322100000200
4220003023
520222133
63303243
71252155
oct500313
9270020
10164043
11102280
127ab23
1359889
1443ad5
1533913
hex280cb

164043 has 12 divisors (see below), whose sum is σ = 258648. Its totient is φ = 99360.

The previous prime is 164039. The next prime is 164051. The reversal of 164043 is 340461.

It is not a de Polignac number, because 164043 - 22 = 164039 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 730 + ... + 927.

It is an arithmetic number, because the mean of its divisors is an integer number (21554).

2164043 is an apocalyptic number.

164043 is a deficient number, since it is larger than the sum of its proper divisors (94605).

164043 is a wasteful number, since it uses less digits than its factorization.

164043 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1674 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 164043 is about 405.0222216126. The cubic root of 164043 is about 54.7418202579.

Subtracting from 164043 its sum of digits (18), we obtain a square (164025 = 4052).

The spelling of 164043 in words is "one hundred sixty-four thousand, forty-three".

Divisors: 1 3 9 11 33 99 1657 4971 14913 18227 54681 164043