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19884168 = 2332277997
BaseRepresentation
bin100101111011…
…0100010001000
31101102012221200
41023312202020
520042243133
61550104200
7331004223
oct113664210
941365850
1019884168
11102512a7
1267ab060
1341727a5
1428d85ba
151b2b913
hex12f6888

19884168 has 48 divisors (see below), whose sum is σ = 54101580. Its totient is φ = 6597504.

The previous prime is 19884157. The next prime is 19884181. The reversal of 19884168 is 86148891.

It can be written as a sum of positive squares in 2 ways, for example, as 19873764 + 10404 = 4458^2 + 102^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19446 + ... + 20442.

Almost surely, 219884168 is an apocalyptic number.

19884168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

19884168 is an abundant number, since it is smaller than the sum of its proper divisors (34217412).

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

19884168 is a wasteful number, since it uses less digits than its factorization.

19884168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The square root of 19884168 is about 4459.1667383044. The cubic root of 19884168 is about 270.9167193706.

The spelling of 19884168 in words is "nineteen million, eight hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 997 1108 1662 1994 2216 2493 2991 3324 3988 4986 5982 6648 7976 8973 9972 11964 17946 19944 23928 35892 71784 276169 552338 828507 1104676 1657014 2209352 2485521 3314028 4971042 6628056 9942084 19884168