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14441868 = 2233722729
BaseRepresentation
bin110111000101…
…110110001100
31000011201112000
4313011312030
512144114433
61233312300
7233516400
oct67056614
930151460
1014441868
118174431
124a05690
132cb85ac
141cbd100
151404113
hexdc5d8c

14441868 has 72 divisors (see below), whose sum is σ = 43570800. Its totient is φ = 4124736.

The previous prime is 14441863. The next prime is 14441879. The reversal of 14441868 is 86814441.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (14441863) 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 23 ways as a sum of consecutive naturals, for example, 3928 + ... + 6656.

It is an arithmetic number, because the mean of its divisors is an integer number (605150).

Almost surely, 214441868 is an apocalyptic number.

14441868 is a gapful number since it is divisible by the number (18) 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 14441868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21785400).

14441868 is an abundant number, since it is smaller than the sum of its proper divisors (29128932).

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

14441868 is a wasteful number, since it uses less digits than its factorization.

14441868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756 (or 2741 counting only the distinct ones).

The product of its digits is 24576, while the sum is 36.

The square root of 14441868 is about 3800.2457815252. The cubic root of 14441868 is about 243.5236383721.

The spelling of 14441868 in words is "fourteen million, four hundred forty-one thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 2729 5292 5458 8187 10916 16374 19103 24561 32748 38206 49122 57309 73683 76412 98244 114618 133721 147366 171927 229236 267442 294732 343854 401163 515781 534884 687708 802326 1031562 1203489 1604652 2063124 2406978 3610467 4813956 7220934 14441868