16368 has 40 divisors (see below), whose sum is σ = 47616. Its totient is φ = 4800.

The previous prime is 16363. The next prime is 16369. The reversal of 16368 is 86361.

16368 = T_{37} + T_{38} + ... +
T_{52}.

It is a super-2 number, since 2×16368^{2} = 535822848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 513 + ... + 543.

16368 is a Friedman number, since it can be written as 66*31*8, using all its digits and the basic arithmetic operations.

2^{16368} 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 16368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23808).

16368 is an abundant number, since it is smaller than the sum of its proper divisors (31248).

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

16368 is a wasteful number, since it uses less digits than its factorization.

16368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 47 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 16368 is about 127.9374847338. The cubic root of 16368 is about 25.3901464249.

It can be divided in two parts, 163 and 68, that added together give a triangular number (231 = T_{21}).

The spelling of 16368 in words is "sixteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368

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