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164820087 = 3231590753
BaseRepresentation
bin10011101001011…
…11010001110111
3102111010201122200
421310233101313
5314143220322
624204355543
74040643015
oct1164572167
9374121580
10164820087
1185044853
1247245bb3
13281ba6a3
1417c658b5
15e70a8ac
hex9d2f477

164820087 has 12 divisors (see below), whose sum is σ = 245753664. Its totient is φ = 106335360.

The previous prime is 164820077. The next prime is 164820091. The reversal of 164820087 is 780028461.

164820087 is a `hidden beast` number, since 1 + 648 + 2 + 0 + 0 + 8 + 7 = 666.

It is not a de Polignac number, because 164820087 - 211 = 164818039 is a prime.

It is a super-2 number, since 2×1648200872 = 54331322157375138, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164820017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 295098 + ... + 295655.

It is an arithmetic number, because the mean of its divisors is an integer number (20479472).

Almost surely, 2164820087 is an apocalyptic number.

164820087 is a deficient number, since it is larger than the sum of its proper divisors (80933577).

164820087 is a wasteful number, since it uses less digits than its factorization.

164820087 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590790 (or 590787 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 164820087 is about 12838.2275645823. The cubic root of 164820087 is about 548.2812316317.

The spelling of 164820087 in words is "one hundred sixty-four million, eight hundred twenty thousand, eighty-seven".

Divisors: 1 3 9 31 93 279 590753 1772259 5316777 18313343 54940029 164820087