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216528 = 24313347
BaseRepresentation
bin110100110111010000
3102000000120
4310313100
523412103
64350240
71561164
oct646720
9360016
10216528
11138754
12a5380
1377730
1458ca4
1544253
hex34dd0

216528 has 40 divisors (see below), whose sum is σ = 604128. Its totient is φ = 66432.

The previous prime is 216523. The next prime is 216551. The reversal of 216528 is 825612.

216528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a nialpdrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 216498 and 216507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216523) 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, 451 + ... + 797.

2216528 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 216528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (302064).

216528 is an abundant number, since it is smaller than the sum of its proper divisors (387600).

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

216528 is a wasteful number, since it uses less digits than its factorization.

216528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its digits is 960, while the sum is 24.

The square root of 216528 is about 465.3256923919. The cubic root of 216528 is about 60.0488491075.

The spelling of 216528 in words is "two hundred sixteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 347 624 694 1041 1388 2082 2776 4164 4511 5552 8328 9022 13533 16656 18044 27066 36088 54132 72176 108264 216528