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14046816 = 253720903
BaseRepresentation
bin110101100101…
…011001100000
3222102122121110
4311211121200
512043444231
61221023320
7230252550
oct65453140
928378543
1014046816
117a24643
124854b40
132baa834
141c19160
151377046
hexd65660

14046816 has 48 divisors (see below), whose sum is σ = 42142464. Its totient is φ = 4013184.

The previous prime is 14046803. The next prime is 14046829. The reversal of 14046816 is 61864041.

It is an interprime number because it is at equal distance from previous prime (14046803) and next prime (14046829).

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 9780 + ... + 11123.

It is an arithmetic number, because the mean of its divisors is an integer number (877968).

Almost surely, 214046816 is an apocalyptic number.

14046816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14046816 is an abundant number, since it is smaller than the sum of its proper divisors (28095648).

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

14046816 is a wasteful number, since it uses less digits than its factorization.

14046816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20923 (or 20915 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 14046816 is about 3747.9082165923. The cubic root of 14046816 is about 241.2825780412.

Subtracting 14046816 from its reverse (61864041), we obtain a square (47817225 = 69152).

The spelling of 14046816 in words is "fourteen million, forty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 20903 41806 62709 83612 125418 146321 167224 250836 292642 334448 438963 501672 585284 668896 877926 1003344 1170568 1755852 2006688 2341136 3511704 4682272 7023408 14046816