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14441280 = 263572307
BaseRepresentation
bin110111000101…
…101101000000
31000011200201020
4313011231000
512144110110
61233305440
7233514600
oct67055500
930150636
1014441280
118173a47
124a05280
132cb8249
141cbcc00
151403d70
hexdc5b40

14441280 has 168 divisors, whose sum is σ = 53510688. Its totient is φ = 3290112.

The previous prime is 14441269. The next prime is 14441293. The reversal of 14441280 is 8214441.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 14441280.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 46887 + ... + 47193.

It is an arithmetic number, because the mean of its divisors is an integer number (318516).

Almost surely, 214441280 is an apocalyptic number.

14441280 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 14441280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26755344).

14441280 is an abundant number, since it is smaller than the sum of its proper divisors (39069408).

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

14441280 is a wasteful number, since it uses less digits than its factorization.

14441280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 14441280 is about 3800.1684173205. The cubic root of 14441280 is about 243.5203333093.

The spelling of 14441280 in words is "fourteen million, four hundred forty-one thousand, two hundred eighty".