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16308864 = 273411213
BaseRepresentation
bin111110001101…
…101010000000
31010200120120000
4332031222000
513133340424
61341320000
7255423465
oct76155200
933616500
1016308864
11922a100
125566000
1334c0320
14224766c
1516723c9
hexf8da80

16308864 has 240 divisors, whose sum is σ = 57452010. Its totient is φ = 4561920.

The previous prime is 16308847. The next prime is 16308871. The reversal of 16308864 is 46880361.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 15681600 + 627264 = 3960^2 + 792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a zygodrome in base 12.

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 29 ways as a sum of consecutive naturals, for example, 1254522 + ... + 1254534.

Almost surely, 216308864 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 16308864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28726005).

16308864 is an abundant number, since it is smaller than the sum of its proper divisors (41143146).

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

16308864 is a wasteful number, since it uses less digits than its factorization.

16308864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 16308864 is about 4038.4234547655. The cubic root of 16308864 is about 253.5953214580.

The spelling of 16308864 in words is "sixteen million, three hundred eight thousand, eight hundred sixty-four".