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20188 = 2272103
BaseRepresentation
bin100111011011100
31000200201
410323130
51121223
6233244
7112600
oct47334
930621
1020188
1114193
12b824
13925c
147500
155ead
hex4edc

20188 has 18 divisors (see below), whose sum is σ = 41496. Its totient is φ = 8568.

The previous prime is 20183. The next prime is 20201. The reversal of 20188 is 88102.

It is a happy number.

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20183) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 145 + ... + 247.

220188 is an apocalyptic number.

20188 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20748).

20188 is an abundant number, since it is smaller than the sum of its proper divisors (21308).

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

20188 is a wasteful number, since it uses less digits than its factorization.

20188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 20188 is about 142.0844819113. The cubic root of 20188 is about 27.2289628055.

It can be divided in two parts, 201 and 88, that added together give a square (289 = 172).

The spelling of 20188 in words is "twenty thousand, one hundred eighty-eight".

Divisors: 1 2 4 7 14 28 49 98 103 196 206 412 721 1442 2884 5047 10094 20188