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19900 = 2252199
BaseRepresentation
bin100110110111100
31000022001
410312330
51114100
6232044
7112006
oct46674
930261
1019900
1113a51
12b624
13909a
147376
155d6a
hex4dbc

19900 has 18 divisors (see below), whose sum is σ = 43400. Its totient is φ = 7920.

The previous prime is 19891. The next prime is 19913. The reversal of 19900 is 991.

Subtracting from 19900 its sum of digits (19), we obtain a square (19881 = 1412).

It can be divided in two parts, 19 and 900, that added together give a palindrome (919).

19900 is a nontrivial binomial coefficient, being equal to C(200, 2).

19900 is an astonishing number since 19900 = 0 + ... + 199.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1 + ... + 199.

219900 is an apocalyptic number.

19900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19900 is the 199-th triangular number and also the 100-th hexagonal number.

19900 is the 67-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21700).

19900 is an abundant number, since it is smaller than the sum of its proper divisors (23500).

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

19900 is a wasteful number, since it uses less digits than its factorization.

19900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 19.

The square root of 19900 is about 141.0673597967. The cubic root of 19900 is about 27.0988602617.

The spelling of 19900 in words is "nineteen thousand, nine hundred".