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19800 = 23325211
BaseRepresentation
bin100110101011000
31000011100
410311120
51113200
6231400
7111504
oct46530
930140
1019800
1113970
12b560
139021
147304
155d00
hex4d58

19800 has 72 divisors (see below), whose sum is σ = 72540. Its totient is φ = 4800.

The previous prime is 19793. The next prime is 19801. The reversal of 19800 is 891.

19800 = T24 + T25 + ... + T50.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19801) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1795 + ... + 1805.

219800 is an apocalyptic number.

19800 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 19800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36270).

19800 is an abundant number, since it is smaller than the sum of its proper divisors (52740).

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

19800 is a wasteful number, since it uses less digits than its factorization.

19800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 19800 is about 140.7124727947. The cubic root of 19800 is about 27.0533922900.

It can be divided in two parts, 1 and 9800, that added together give a square (9801 = 992).

The spelling of 19800 in words is "nineteen thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 25 30 33 36 40 44 45 50 55 60 66 72 75 88 90 99 100 110 120 132 150 165 180 198 200 220 225 264 275 300 330 360 396 440 450 495 550 600 660 792 825 900 990 1100 1320 1650 1800 1980 2200 2475 3300 3960 4950 6600 9900 19800