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16932 = 2231783
BaseRepresentation
bin100001000100100
3212020010
410020210
51020212
6210220
7100236
oct41044
925203
1016932
11117a3
129970
137926
146256
15503c
hex4224

16932 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 5248.

The previous prime is 16931. The next prime is 16937. The reversal of 16932 is 23961.

16932 = T13 + T14 + ... + T46.

16932 is nontrivially palindromic in base 16.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 16899 and 16908.

It is not an unprimeable number, because it can be changed into a prime (16931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 163 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (1764).

216932 is an apocalyptic number.

16932 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 16932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

16932 is an abundant number, since it is smaller than the sum of its proper divisors (25404).

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

16932 is a wasteful number, since it uses less digits than its factorization.

With its successor (16933) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (107).

16932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its digits is 324, while the sum is 21.

The square root of 16932 is about 130.1230187169. The cubic root of 16932 is about 25.6784863385.

The spelling of 16932 in words is "sixteen thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 83 102 166 204 249 332 498 996 1411 2822 4233 5644 8466 16932