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19320 = 2335723
BaseRepresentation
bin100101101111000
3222111120
410231320
51104240
6225240
7110220
oct45570
928446
1019320
1113574
12b220
138a42
147080
155ad0
hex4b78

19320 has 64 divisors (see below), whose sum is σ = 69120. Its totient is φ = 4224.

The previous prime is 19319. The next prime is 19333. The reversal of 19320 is 2391.

19320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1392-1.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 19320.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 19320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 829 + ... + 851.

It is an arithmetic number, because the mean of its divisors is an integer number (1080).

219320 is an apocalyptic number.

19320 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 19320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34560).

19320 is an abundant number, since it is smaller than the sum of its proper divisors (49800).

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

19320 is a wasteful number, since it uses less digits than its factorization.

19320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 19320 is about 138.9964028312. The cubic root of 19320 is about 26.8329882633.

The spelling of 19320 in words is "nineteen thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320