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19888 = 2411113
BaseRepresentation
bin100110110110000
31000021121
410312300
51114023
6232024
7111661
oct46660
930247
1019888
1113a40
12b614
13908b
147368
155d5d
hex4db0

19888 has 20 divisors (see below), whose sum is σ = 42408. Its totient is φ = 8960.

The previous prime is 19867. The next prime is 19889. The reversal of 19888 is 88891.

19888 is an undulating number in base 15.

It is not an unprimeable number, because it can be changed into a prime (19889) by changing a digit.

19888 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 3 ways as a sum of consecutive naturals, for example, 120 + ... + 232.

219888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21204).

19888 is an abundant number, since it is smaller than the sum of its proper divisors (22520).

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

19888 is a wasteful number, since it uses less digits than its factorization.

19888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 126 counting only the distinct ones).

The product of its digits is 4608, while the sum is 34.

The square root of 19888 is about 141.0248205104. The cubic root of 19888 is about 27.0934121594.

It can be divided in two parts, 198 and 88, that multiplied together give a square (17424 = 1322).

The spelling of 19888 in words is "nineteen thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 113 176 226 452 904 1243 1808 2486 4972 9944 19888