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16692 = 22313107
BaseRepresentation
bin100000100110100
3211220020
410010310
51013232
6205140
766444
oct40464
924806
1016692
11115a5
1297b0
1377a0
146124
154e2c
hex4134

16692 has 24 divisors (see below), whose sum is σ = 42336. Its totient is φ = 5088.

The previous prime is 16691. The next prime is 16693. The reversal of 16692 is 29661.

It is an interprime number because it is at equal distance from previous prime (16691) and next prime (16693).

It is a nialpdrome in base 7.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16691) by changing a digit.

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 in 7 ways as a sum of consecutive naturals, for example, 103 + ... + 209.

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

216692 is an apocalyptic number.

16692 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 16692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21168).

16692 is an abundant number, since it is smaller than the sum of its proper divisors (25644).

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

16692 is a wasteful number, since it uses less digits than its factorization.

16692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 125 counting only the distinct ones).

The product of its digits is 648, while the sum is 24.

The square root of 16692 is about 129.1975231961. The cubic root of 16692 is about 25.5565833095.

The spelling of 16692 in words is "sixteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 107 156 214 321 428 642 1284 1391 2782 4173 5564 8346 16692