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14083008 = 263411789
BaseRepresentation
bin110101101110…
…001111000000
3222111111020220
4311232033000
512101124013
61221503040
7230463222
oct65561700
928444226
1014083008
117a49855
124871a80
132bc1154
141c28412
151382b23
hexd6e3c0

14083008 has 56 divisors (see below), whose sum is σ = 38191440. Its totient is φ = 4577280.

The previous prime is 14082997. The next prime is 14083039. The reversal of 14083008 is 80038041.

14083008 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140830082 = 396662228656128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6978 + ... + 8766.

It is an arithmetic number, because the mean of its divisors is an integer number (681990).

Almost surely, 214083008 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 14083008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19095720).

14083008 is an abundant number, since it is smaller than the sum of its proper divisors (24108432).

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

14083008 is a wasteful number, since it uses less digits than its factorization.

14083008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1845 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 14083008 is about 3752.7334038005. The cubic root of 14083008 is about 241.4896240114.

The spelling of 14083008 in words is "fourteen million, eighty-three thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1789 1968 2624 3578 3936 5367 7156 7872 10734 14312 21468 28624 42936 57248 73349 85872 114496 146698 171744 220047 293396 343488 440094 586792 880188 1173584 1760376 2347168 3520752 4694336 7041504 14083008