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14084864 = 28371487
BaseRepresentation
bin110101101110…
…101100000000
3222111120210122
4311232230000
512101203424
61221515412
7230501513
oct65565400
928446718
1014084864
117a50192
124872b68
132bc1c51
141c28d7a
15138345e
hexd6eb00

14084864 has 36 divisors (see below), whose sum is σ = 28893984. Its totient is φ = 6847488.

The previous prime is 14084849. The next prime is 14084867. The reversal of 14084864 is 46848041.

It is not an unprimeable number, because it can be changed into a prime (14084867) 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 3 ways as a sum of consecutive naturals, for example, 8729 + ... + 10215.

Almost surely, 214084864 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 14084864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14446992).

14084864 is an abundant number, since it is smaller than the sum of its proper divisors (14809120).

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

14084864 is an equidigital number, since it uses as much as digits as its factorization.

14084864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 35.

The square root of 14084864 is about 3752.9806820713. The cubic root of 14084864 is about 241.5002321867.

The spelling of 14084864 in words is "fourteen million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1487 2368 2974 4736 5948 9472 11896 23792 47584 55019 95168 110038 190336 220076 380672 440152 880304 1760608 3521216 7042432 14084864