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16536 = 2331353
BaseRepresentation
bin100000010011000
3211200110
410002120
51012121
6204320
766132
oct40230
924613
1016536
1111473
1296a0
1376b0
146052
154d76
hex4098

16536 has 32 divisors (see below), whose sum is σ = 45360. Its totient is φ = 4992.

The previous prime is 16529. The next prime is 16547. The reversal of 16536 is 63561.

16536 is an esthetic number in base 5, because in such base its adjacent digits differ by 1.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 286 + ... + 338.

216536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

16536 is an abundant number, since it is smaller than the sum of its proper divisors (28824).

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

16536 is a wasteful number, since it uses less digits than its factorization.

16536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 71 counting only the distinct ones).

The product of its digits is 540, while the sum is 21.

The square root of 16536 is about 128.5923792454. The cubic root of 16536 is about 25.4767184659.

The spelling of 16536 in words is "sixteen thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 53 78 104 106 156 159 212 312 318 424 636 689 1272 1378 2067 2756 4134 5512 8268 16536