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14102304 = 253712069
BaseRepresentation
bin110101110010…
…111100100000
3222112110201120
4311302330200
512102233204
61222132240
7230603406
oct65627440
928473646
1014102304
117a622a7
124881080
132bc9b78
141c31476
1513886d9
hexd72f20

14102304 has 48 divisors (see below), whose sum is σ = 37558080. Its totient is φ = 4632320.

The previous prime is 14102273. The next prime is 14102329. The reversal of 14102304 is 40320141.

14102304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5782 + ... + 7850.

It is an arithmetic number, because the mean of its divisors is an integer number (782460).

Almost surely, 214102304 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 14102304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18779040).

14102304 is an abundant number, since it is smaller than the sum of its proper divisors (23455776).

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

14102304 is a wasteful number, since it uses less digits than its factorization.

14102304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2153 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 14102304 is about 3755.3034497894. The cubic root of 14102304 is about 241.5998669648.

Adding to 14102304 its reverse (40320141), we get a palindrome (54422445).

The spelling of 14102304 in words is "fourteen million, one hundred two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 71 96 142 213 284 426 568 852 1136 1704 2069 2272 3408 4138 6207 6816 8276 12414 16552 24828 33104 49656 66208 99312 146899 198624 293798 440697 587596 881394 1175192 1762788 2350384 3525576 4700768 7051152 14102304