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14688368 = 241922543
BaseRepresentation
bin111000000010…
…000001110000
31000122020122122
4320002001300
512230011433
61242453412
7235564142
oct70020160
930566578
1014688368
118322652
124b04268
133073856
141d44c92
151452198
hexe02070

14688368 has 30 divisors (see below), whose sum is σ = 30047184. Its totient is φ = 6954912.

The previous prime is 14688361. The next prime is 14688397. The reversal of 14688368 is 86388641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14688361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4505 + ... + 7047.

Almost surely, 214688368 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 14688368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023592).

14688368 is an abundant number, since it is smaller than the sum of its proper divisors (15358816).

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

14688368 is a wasteful number, since it uses less digits than its factorization.

14688368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589 (or 2564 counting only the distinct ones).

The product of its digits is 221184, while the sum is 44.

The square root of 14688368 is about 3832.5406716694. The cubic root of 14688368 is about 244.9013513718.

The spelling of 14688368 in words is "fourteen million, six hundred eighty-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2543 2888 5086 5776 10172 20344 40688 48317 96634 193268 386536 773072 918023 1836046 3672092 7344184 14688368