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16328016 = 2432149761
BaseRepresentation
bin111110010010…
…010101010000
31010201112211100
4332102111100
513134444031
61341544400
7255533355
oct76222520
933645740
1016328016
119242531
125575100
1334c8c63
14225062c
151677de6
hexf92550

16328016 has 60 divisors (see below), whose sum is σ = 46062900. Its totient is φ = 5399040.

The previous prime is 16327943. The next prime is 16328027. The reversal of 16328016 is 61082361.

It can be written as a sum of positive squares in 2 ways, for example, as 646416 + 15681600 = 804^2 + 3960^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21076 + ... + 21836.

It is an arithmetic number, because the mean of its divisors is an integer number (767715).

Almost surely, 216328016 is an apocalyptic number.

16328016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16328016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23031450).

16328016 is an abundant number, since it is smaller than the sum of its proper divisors (29734884).

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

16328016 is a wasteful number, since it uses less digits than its factorization.

16328016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 16328016 is about 4040.7939813853. The cubic root of 16328016 is about 253.6945508842.

The spelling of 16328016 in words is "sixteen million, three hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 149 298 447 596 761 894 1192 1341 1522 1788 2283 2384 2682 3044 3576 4566 5364 6088 6849 7152 9132 10728 12176 13698 18264 21456 27396 36528 54792 109584 113389 226778 340167 453556 680334 907112 1020501 1360668 1814224 2041002 2721336 4082004 5442672 8164008 16328016