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16236 = 22321141
BaseRepresentation
bin11111101101100
3211021100
43331230
51004421
6203100
765223
oct37554
924240
1016236
1111220
129490
13750c
145cba
154c26
hex3f6c

16236 has 36 divisors (see below), whose sum is σ = 45864. Its totient is φ = 4800.

The previous prime is 16231. The next prime is 16249. The reversal of 16236 is 63261.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (16231) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376 + ... + 416.

It is an arithmetic number, because the mean of its divisors is an integer number (1274).

216236 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 16236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22932).

16236 is an abundant number, since it is smaller than the sum of its proper divisors (29628).

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

16236 is a wasteful number, since it uses less digits than its factorization.

16236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 57 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 16236 is about 127.4205634896. The cubic root of 16236 is about 25.3217090406.

Adding to 16236 its reverse (63261), we get a palindrome (79497).

It can be divided in two parts, 162 and 36, that multiplied together give a cube (5832 = 183).

The spelling of 16236 in words is "sixteen thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 369 396 451 492 738 902 1353 1476 1804 2706 4059 5412 8118 16236