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14112032 = 251147853
BaseRepresentation
bin110101110101…
…010100100000
3222112222001212
4311311110200
512103041112
61222245252
7230643644
oct65652440
928488055
1014112032
117a69640
124886828
132c0141c
141c34c24
15138b522
hexd75520

14112032 has 48 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 6270720.

The previous prime is 14112029. The next prime is 14112047. The reversal of 14112032 is 23021141.

It is a nialpdrome in base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14111998 and 14112016.

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 7 ways as a sum of consecutive naturals, for example, 16118 + ... + 16970.

It is an arithmetic number, because the mean of its divisors is an integer number (645624).

Almost surely, 214112032 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 14112032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976).

14112032 is an abundant number, since it is smaller than the sum of its proper divisors (16877920).

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

14112032 is a wasteful number, since it uses less digits than its factorization.

14112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 921 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 14112032 is about 3756.5984613743. The cubic root of 14112032 is about 241.6554073761.

Adding to 14112032 its reverse (23021141), we get a palindrome (37133173).

It can be divided in two parts, 1411 and 2032, that added together give a palindrome (3443).

The spelling of 14112032 in words is "fourteen million, one hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 47 88 94 176 188 352 376 517 752 853 1034 1504 1706 2068 3412 4136 6824 8272 9383 13648 16544 18766 27296 37532 40091 75064 80182 150128 160364 300256 320728 441001 641456 882002 1282912 1764004 3528008 7056016 14112032