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164046 = 23191439
BaseRepresentation
bin101000000011001110
322100000210
4220003032
520222141
63303250
71252161
oct500316
9270023
10164046
11102283
127ab26
135988c
1443ad8
1533916
hex280ce

164046 has 16 divisors (see below), whose sum is σ = 345600. Its totient is φ = 51768.

The previous prime is 164039. The next prime is 164051. The reversal of 164046 is 640461.

It is a super-2 number, since 2×1640462 = 53822180232, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

164046 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 (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 606 + ... + 833.

It is an arithmetic number, because the mean of its divisors is an integer number (21600).

2164046 is an apocalyptic number.

164046 is an abundant number, since it is smaller than the sum of its proper divisors (181554).

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

164046 is a wasteful number, since it uses less digits than its factorization.

164046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1463.

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 164046 is about 405.0259250962. The cubic root of 164046 is about 54.7421539600.

Subtracting from 164046 its sum of digits (21), we obtain a square (164025 = 4052).

The spelling of 164046 in words is "one hundred sixty-four thousand, forty-six".

Divisors: 1 2 3 6 19 38 57 114 1439 2878 4317 8634 27341 54682 82023 164046