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16926 = 2371331

16926 has 32 divisors (see below), whose sum is σ = 43008. Its totient is φ = 4320.

The previous prime is 16921. The next prime is 16927. The reversal of 16926 is 62961.

16926 is nontrivially palindromic in base 5.

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 16896 and 16905.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16926.

It is not an unprimeable number, because it can be changed into a prime (16921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531 + ... + 561.

It is an arithmetic number, because the mean of its divisors is an integer number (1344).

216926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21504).

16926 is an abundant number, since it is smaller than the sum of its proper divisors (26082).

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

16926 is a wasteful number, since it uses less digits than its factorization.

16926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56.

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

The square root of 16926 is about 130.0999615680. The cubic root of 16926 is about 25.6754528493.

The spelling of 16926 in words is "sixteen thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 7 13 14 21 26 31 39 42 62 78 91 93 182 186 217 273 403 434 546 651 806 1209 1302 2418 2821 5642 8463 16926