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19684 = 2271937
BaseRepresentation
bin100110011100100
31000000001
410303210
51112214
6231044
7111250
oct46344
930001
1019684
1113875
12b484
138c62
147260
155c74
hex4ce4

19684 has 24 divisors (see below), whose sum is σ = 42560. Its totient is φ = 7776.

The previous prime is 19681. The next prime is 19687. The reversal of 19684 is 48691.

19684 divided by its sum of digits (28) gives a triangular number (703 = T37).

Adding to 19684 its product of digits (1728), we get a palindrome (21412).

Subtracting from 19684 its product of digits (1728), we obtain a square (17956 = 1342).

It can be divided in two parts, 19 and 684, that multiplied together give a square (12996 = 1142).

19684 is nontrivially palindromic in base 3.

It is a Cunningham number, because it is equal to 39+1.

It is an interprime number because it is at equal distance from previous prime (19681) and next prime (19687).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19681) 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 7 ways as a sum of consecutive naturals, for example, 514 + ... + 550.

19684 is a Friedman number, since it can be written as ((6*4)/8)^9+1, using all its digits and the basic arithmetic operations.

219684 is an apocalyptic number.

19684 is a gapful number since it is divisible by the number (14) 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 19684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280).

19684 is an abundant number, since it is smaller than the sum of its proper divisors (22876).

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

19684 is a wasteful number, since it uses less digits than its factorization.

19684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 65 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 19684 is about 140.2996792584. The cubic root of 19684 is about 27.0004572396. Note that the first 3 decimals are identical.

The spelling of 19684 in words is "nineteen thousand, six hundred eighty-four".

Divisors: 1 2 4 7 14 19 28 37 38 74 76 133 148 259 266 518 532 703 1036 1406 2812 4921 9842 19684