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14081184 = 2532133761
BaseRepresentation
bin110101101101…
…110010100000
3222111101202100
4311231302200
512101044214
61221450400
7230455005
oct65556240
928441670
1014081184
117a48447
124870a00
132bc0380
141c278ac
151382309
hexd6dca0

14081184 has 72 divisors (see below), whose sum is σ = 43135092. Its totient is φ = 4331520.

The previous prime is 14081183. The next prime is 14081209. The reversal of 14081184 is 48118041.

14081184 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 13395600 + 685584 = 3660^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (14081183) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1864 + ... + 5624.

Almost surely, 214081184 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 14081184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21567546).

14081184 is an abundant number, since it is smaller than the sum of its proper divisors (29053908).

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

14081184 is a wasteful number, since it uses less digits than its factorization.

14081184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3790 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 27.

The square root of 14081184 is about 3752.4903730723. The cubic root of 14081184 is about 241.4791978276.

The spelling of 14081184 in words is "fourteen million, eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3761 7522 11283 15044 22566 30088 33849 45132 48893 60176 67698 90264 97786 120352 135396 146679 180528 195572 270792 293358 361056 391144 440037 541584 586716 782288 880074 1083168 1173432 1564576 1760148 2346864 3520296 4693728 7040592 14081184