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14441360 = 245971861
BaseRepresentation
bin110111000101…
…101110010000
31000011200211012
4313011232100
512144110420
61233310052
7233515043
oct67055620
930150735
1014441360
11817400a
124a05328
132cb82ab
141cbcc5a
151403dc5
hexdc5b90

14441360 has 40 divisors (see below), whose sum is σ = 33940536. Its totient is φ = 5713920.

The previous prime is 14441353. The next prime is 14441363. The reversal of 14441360 is 6314441.

14441360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 92416 + 14348944 = 304^2 + 3788^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14441363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6830 + ... + 8690.

Almost surely, 214441360 is an apocalyptic number.

14441360 is a gapful number since it is divisible by the number (10) 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 14441360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16970268).

14441360 is an abundant number, since it is smaller than the sum of its proper divisors (19499176).

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

14441360 is a wasteful number, since it uses less digits than its factorization.

14441360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1971 (or 1965 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 14441360 is about 3800.1789431552. The cubic root of 14441360 is about 243.5207829830.

The spelling of 14441360 in words is "fourteen million, four hundred forty-one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 97 194 388 485 776 970 1552 1861 1940 3722 3880 7444 7760 9305 14888 18610 29776 37220 74440 148880 180517 361034 722068 902585 1444136 1805170 2888272 3610340 7220680 14441360