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14119056 = 2433722329
BaseRepresentation
bin110101110111…
…000010010000
3222120022201000
4311313002100
512103302211
61222342000
7231003300
oct65670220
928508630
1014119056
117a73946
12488a900
132c04693
141c37600
15138d656
hexd77090

14119056 has 240 divisors, whose sum is σ = 50889600. Its totient is φ = 3725568.

The previous prime is 14119051. The next prime is 14119057. The reversal of 14119056 is 65091141.

It is a super-2 number, since 2×141190562 = 398695484662272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14119051) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 486850 + ... + 486878.

It is an arithmetic number, because the mean of its divisors is an integer number (212040).

Almost surely, 214119056 is an apocalyptic number.

14119056 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 14119056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25444800).

14119056 is an abundant number, since it is smaller than the sum of its proper divisors (36770544).

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

14119056 is a wasteful number, since it uses less digits than its factorization.

14119056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 14119056 is about 3757.5332333860. The cubic root of 14119056 is about 241.6954938792.

It can be divided in two parts, 141190 and 56, that added together give a triangular number (141246 = T531).

The spelling of 14119056 in words is "fourteen million, one hundred nineteen thousand, fifty-six".