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14130304 = 271011093
BaseRepresentation
bin110101111001…
…110010000000
3222120220010121
4311321302000
512104132204
61222510024
7231051136
oct65716200
928526117
1014130304
117a81341
124895314
132c09836
141c3b756
151391b54
hexd79c80

14130304 has 32 divisors (see below), whose sum is σ = 28454940. Its totient is φ = 6988800.

The previous prime is 14130299. The next prime is 14130331. The reversal of 14130304 is 40303141.

It can be written as a sum of positive squares in 2 ways, for example, as 9290304 + 4840000 = 3048^2 + 2200^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×141303042 = 399330982264832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

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 3 ways as a sum of consecutive naturals, for example, 12382 + ... + 13474.

Almost surely, 214130304 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 14130304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14227470).

14130304 is an abundant number, since it is smaller than the sum of its proper divisors (14324636).

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

14130304 is a wasteful number, since it uses less digits than its factorization.

14130304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 14130304 is about 3759.0296620272. The cubic root of 14130304 is about 241.7596593897.

Adding to 14130304 its reverse (40303141), we get a palindrome (54433445).

The spelling of 14130304 in words is "fourteen million, one hundred thirty thousand, three hundred four".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1093 1616 2186 3232 4372 6464 8744 12928 17488 34976 69952 110393 139904 220786 441572 883144 1766288 3532576 7065152 14130304