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19932 = 22311151

19932 has 24 divisors (see below), whose sum is σ = 51072. Its totient is φ = 6000.

The previous prime is 19927. The next prime is 19937. The reversal of 19932 is 23991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19927) and next prime (19937).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19937) by changing a digit.

19932 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 57 + ... + 207.

It is an arithmetic number, because the mean of its divisors is an integer number (2128).

219932 is an apocalyptic number.

19932 is a gapful number since it is divisible by the number (12) 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 19932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25536).

19932 is an abundant number, since it is smaller than the sum of its proper divisors (31140).

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

19932 is a wasteful number, since it uses less digits than its factorization.

19932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its digits is 486, while the sum is 24.

The square root of 19932 is about 141.1807352297. The cubic root of 19932 is about 27.1133778351.

It can be divided in two parts, 199 and 32, that added together give a triangular number (231 = T21).

The spelling of 19932 in words is "nineteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 19932