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19100 = 2252191
BaseRepresentation
bin100101010011100
3222012102
410222130
51102400
6224232
7106454
oct45234
928172
1019100
1113394
12b078
138903
146d64
1559d5
hex4a9c

19100 has 18 divisors (see below), whose sum is σ = 41664. Its totient is φ = 7600.

The previous prime is 19087. The next prime is 19121. The reversal of 19100 is 191.

It is a congruent number.

It is an unprimeable 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 5 ways as a sum of consecutive naturals, for example, 5 + ... + 195.

219100 is an apocalyptic number.

19100 is a gapful number since it is divisible by the number (10) 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 19100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20832).

19100 is an abundant number, since it is smaller than the sum of its proper divisors (22564).

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

19100 is a wasteful number, since it uses less digits than its factorization.

19100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 11.

The square root of 19100 is about 138.2027496109. The cubic root of 19100 is about 26.7307486606.

The spelling of 19100 in words is "nineteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 191 382 764 955 1910 3820 4775 9550 19100