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14065360 = 2451091613
BaseRepresentation
bin110101101001…
…111011010000
3222110121001021
4311221323100
512100042420
61221245224
7230360611
oct65517320
928417037
1014065360
117a37571
124863814
132bb60ca
141c21c08
15137c7aa
hexd69ed0

14065360 has 40 divisors (see below), whose sum is σ = 33022440. Its totient is φ = 5571072.

The previous prime is 14065357. The next prime is 14065391. The reversal of 14065360 is 6356041.

It can be written as a sum of positive squares in 4 ways, for example, as 3069504 + 10995856 = 1752^2 + 3316^2 .

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

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 7914 + ... + 9526.

It is an arithmetic number, because the mean of its divisors is an integer number (825561).

Almost surely, 214065360 is an apocalyptic number.

14065360 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 14065360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511220).

14065360 is an abundant number, since it is smaller than the sum of its proper divisors (18957080).

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

14065360 is a wasteful number, since it uses less digits than its factorization.

14065360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 14065360 is about 3750.3813139466. The cubic root of 14065360 is about 241.3887082994.

The spelling of 14065360 in words is "fourteen million, sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 218 436 545 872 1090 1613 1744 2180 3226 4360 6452 8065 8720 12904 16130 25808 32260 64520 129040 175817 351634 703268 879085 1406536 1758170 2813072 3516340 7032680 14065360