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19984 = 241249
BaseRepresentation
bin100111000010000
31000102011
410320100
51114414
6232304
7112156
oct47020
930364
1019984
1114018
12b694
139133
1473d6
155dc4
hex4e10

19984 has 10 divisors (see below), whose sum is σ = 38750. Its totient is φ = 9984.

The previous prime is 19979. The next prime is 19991. The reversal of 19984 is 48991.

It can be written as a sum of positive squares in only one way, i.e., 16384 + 3600 = 128^2 + 60^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 609 + ... + 640.

It is an arithmetic number, because the mean of its divisors is an integer number (3875).

219984 is an apocalyptic number.

It is an amenable number.

19984 is a deficient number, since it is larger than the sum of its proper divisors (18766).

19984 is a wasteful number, since it uses less digits than its factorization.

19984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1251 counting only the distinct ones).

The product of its digits is 2592, while the sum is 31.

The square root of 19984 is about 141.3647763766. The cubic root of 19984 is about 27.1369357879.

It can be divided in two parts, 1998 and 4, that added together give a palindrome (2002).

The spelling of 19984 in words is "nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 1249 2498 4996 9992 19984