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16936 = 232973
BaseRepresentation
bin100001000101000
3212020021
410020220
51020221
6210224
7100243
oct41050
925207
1016936
11117a7
129974
13792a
14625a
155041
hex4228

16936 has 16 divisors (see below), whose sum is σ = 33300. Its totient is φ = 8064.

The previous prime is 16931. The next prime is 16937. The reversal of 16936 is 63961.

It can be written as a sum of positive squares in 2 ways, for example, as 16900 + 36 = 130^2 + 6^2 .

Its product of digits (972) is a multiple of the sum of its prime factors (108).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 16936.

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

16936 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 3 ways as a sum of consecutive naturals, for example, 196 + ... + 268.

216936 is an apocalyptic number.

It is an amenable number.

16936 is a deficient number, since it is larger than the sum of its proper divisors (16364).

16936 is a wasteful number, since it uses less digits than its factorization.

16936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 104 counting only the distinct ones).

The product of its digits is 972, while the sum is 25.

The square root of 16936 is about 130.1383878800. The cubic root of 16936 is about 25.6805082666.

Adding to 16936 its sum of digits (25), we get a palindrome (16961).

It can be divided in two parts, 169 and 36, that multiplied together give a square (6084 = 782).

The spelling of 16936 in words is "sixteen thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 29 58 73 116 146 232 292 584 2117 4234 8468 16936