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16386768 = 2432113797
BaseRepresentation
bin111110100000…
…101011010000
31010211112102100
4332200223100
513143334033
61343120400
7256166556
oct76405320
933745370
1016386768
119282692
1255a3100
133519918
142267bd6
15168a513
hexfa0ad0

16386768 has 30 divisors (see below), whose sum is σ = 45860594. Its totient is φ = 5462208.

The previous prime is 16386767. The next prime is 16386781. The reversal of 16386768 is 86768361.

16386768 is a `hidden beast` number, since 1 + 638 + 6 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12027024 + 4359744 = 3468^2 + 2088^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16386761) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 56755 + ... + 57042.

Almost surely, 216386768 is an apocalyptic number.

16386768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16386768 is an abundant number, since it is smaller than the sum of its proper divisors (29473826).

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

16386768 is a wasteful number, since it uses less digits than its factorization.

16386768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113811 (or 113802 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 16386768 is about 4048.0573118473. The cubic root of 16386768 is about 253.9984706544.

The spelling of 16386768 in words is "sixteen million, three hundred eighty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 113797 227594 341391 455188 682782 910376 1024173 1365564 1820752 2048346 2731128 4096692 5462256 8193384 16386768