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14128096 = 251921223
BaseRepresentation
bin110101111001…
…001111100000
3222120210002211
4311321033200
512104044341
61222451504
7231041533
oct65711740
928523084
1014128096
117a7a714
124893b94
132c08828
141c3aa1a
151391181
hexd793e0

14128096 has 36 divisors (see below), whose sum is σ = 29379672. Its totient is φ = 6686784.

The previous prime is 14128069. The next prime is 14128109. The reversal of 14128096 is 69082141.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10941 + ... + 12163.

It is an arithmetic number, because the mean of its divisors is an integer number (816102).

Almost surely, 214128096 is an apocalyptic number.

14128096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14128096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14689836).

14128096 is an abundant number, since it is smaller than the sum of its proper divisors (15251576).

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

14128096 is a wasteful number, since it uses less digits than its factorization.

14128096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1271 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 14128096 is about 3758.7359577390. The cubic root of 14128096 is about 241.7470662864.

It can be divided in two parts, 141280 and 96, that added together give a square (141376 = 3762).

The spelling of 14128096 in words is "fourteen million, one hundred twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 361 608 722 1223 1444 2446 2888 4892 5776 9784 11552 19568 23237 39136 46474 92948 185896 371792 441503 743584 883006 1766012 3532024 7064048 14128096