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19120 = 245239
BaseRepresentation
bin100101010110000
3222020011
410222300
51102440
6224304
7106513
oct45260
928204
1019120
1113402
12b094
13891a
146d7a
1559ea
hex4ab0

19120 has 20 divisors (see below), whose sum is σ = 44640. Its totient is φ = 7616.

The previous prime is 19087. The next prime is 19121. The reversal of 19120 is 2191.

It is a tau number, because it is divible by the number of its divisors (20).

It is a self number, because there is not a number n which added to its sum of digits gives 19120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40 + ... + 199.

It is an arithmetic number, because the mean of its divisors is an integer number (2232).

219120 is an apocalyptic number.

19120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

19120 is an abundant number, since it is smaller than the sum of its proper divisors (25520).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22320).

19120 is a wasteful number, since it uses less digits than its factorization.

19120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 19120 is about 138.2750881395. The cubic root of 19120 is about 26.7400755102.

The spelling of 19120 in words is "nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 239 478 956 1195 1912 2390 3824 4780 9560 19120