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16530 = 2351929
BaseRepresentation
bin100000010010010
3211200020
410002102
51012110
6204310
766123
oct40222
924606
1016530
1111468
129696
1376a7
14604a
154d70
hex4092

16530 has 32 divisors (see below), whose sum is σ = 43200. Its totient is φ = 4032.

The previous prime is 16529. The next prime is 16547. The reversal of 16530 is 3561.

It is a Harshad number since it is a multiple of its sum of digits (15).

16530 is an undulating number in base 12.

It is a plaindrome in base 11.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16530.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556 + ... + 584.

It is an arithmetic number, because the mean of its divisors is an integer number (1350).

216530 is an apocalyptic number.

16530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21600).

16530 is an abundant number, since it is smaller than the sum of its proper divisors (26670).

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

16530 is a wasteful number, since it uses less digits than its factorization.

16530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 16530 is about 128.5690475970. The cubic root of 16530 is about 25.4736367290.

It can be divided in two parts, 165 and 30, that multiplied together give a triangular number (4950 = T99).

The spelling of 16530 in words is "sixteen thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 29 30 38 57 58 87 95 114 145 174 190 285 290 435 551 570 870 1102 1653 2755 3306 5510 8265 16530