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164058084 = 223219239851
BaseRepresentation
bin10011100011101…
…01001111100100
3102102201000101100
421301311033210
5313444324314
624140200100
74031320311
oct1161651744
9372630340
10164058084
11846742a3
1246b39030
1327cb18b8
1417b07d08
15e609c09
hex9c753e4

164058084 has 36 divisors (see below), whose sum is σ = 436530640. Its totient is φ = 51807600.

The previous prime is 164058079. The next prime is 164058131. The reversal of 164058084 is 480850461.

164058084 is a `hidden beast` number, since 1 + 640 + 5 + 8 + 0 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119242 + ... + 120609.

Almost surely, 2164058084 is an apocalyptic number.

It is an amenable number.

164058084 is an abundant number, since it is smaller than the sum of its proper divisors (272472556).

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

164058084 is a wasteful number, since it uses less digits than its factorization.

164058084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239880 (or 239875 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 164058084 is about 12808.5160733006. The cubic root of 164058084 is about 547.4349807069.

The spelling of 164058084 in words is "one hundred sixty-four million, fifty-eight thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 239851 479702 719553 959404 1439106 2158659 2878212 4317318 4557169 8634636 9114338 13671507 18228676 27343014 41014521 54686028 82029042 164058084