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16824 = 233701
BaseRepresentation
bin100000110111000
3212002010
410012320
51014244
6205520
7100023
oct40670
925063
1016824
1111705
1298a0
137872
1461ba
154eb9
hex41b8

16824 has 16 divisors (see below), whose sum is σ = 42120. Its totient is φ = 5600.

The previous prime is 16823. The next prime is 16829. The reversal of 16824 is 42861.

Adding to 16824 its reverse (42861), we get a triangular number (59685 = T345).

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

It is one of the 548 Lynch-Bell numbers.

It is a self number, because there is not a number n which added to its sum of digits gives 16824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16823) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327 + ... + 374.

216824 is an apocalyptic number.

It is an amenable number.

16824 is an abundant number, since it is smaller than the sum of its proper divisors (25296).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21060).

16824 is a wasteful number, since it uses less digits than its factorization.

16824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710 (or 706 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 16824 is about 129.7073629367. The cubic root of 16824 is about 25.6237734888.

The spelling of 16824 in words is "sixteen thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 24 701 1402 2103 2804 4206 5608 8412 16824