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14366128 = 2471943157
BaseRepresentation
bin110110110011…
…010110110000
31000000212121211
4312303112300
512134204003
61231525504
7233052520
oct66632660
930025554
1014366128
118122537
124989894
132c8cc8a
141c9d680
1513db96d
hexdb35b0

14366128 has 80 divisors (see below), whose sum is σ = 34481920. Its totient is φ = 5660928.

The previous prime is 14366117. The next prime is 14366129. The reversal of 14366128 is 82166341.

It is a happy number.

14366128 is nontrivially palindromic in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 14366128.

It is not an unprimeable number, because it can be changed into a prime (14366129) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 91426 + ... + 91582.

It is an arithmetic number, because the mean of its divisors is an integer number (431024).

Almost surely, 214366128 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 14366128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17240960).

14366128 is an abundant number, since it is smaller than the sum of its proper divisors (20115792).

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

14366128 is a wasteful number, since it uses less digits than its factorization.

14366128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 228 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 14366128 is about 3790.2675367314. The cubic root of 14366128 is about 243.0971741845.

The spelling of 14366128 in words is "fourteen million, three hundred sixty-six thousand, one hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 43 56 76 86 112 133 152 157 172 266 301 304 314 344 532 602 628 688 817 1064 1099 1204 1256 1634 2128 2198 2408 2512 2983 3268 4396 4816 5719 5966 6536 6751 8792 11438 11932 13072 13502 17584 20881 22876 23864 27004 41762 45752 47257 47728 54008 83524 91504 94514 108016 128269 167048 189028 256538 334096 378056 513076 756112 897883 1026152 1795766 2052304 3591532 7183064 14366128