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14316064 = 25779809
BaseRepresentation
bin110110100111…
…001000100000
3222221022221121
4312213020200
512131103224
61230502024
7232453540
oct66471040
928838847
1014316064
118098964
124964914
132c73259
141c89320
1513cbbe4
hexda7220

14316064 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 6050304.

The previous prime is 14316047. The next prime is 14316067. The reversal of 14316064 is 46061341.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14316067) 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, 17292 + ... + 18100.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 214316064 is an apocalyptic number.

14316064 is a gapful number since it is divisible by the number (14) 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 14316064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

14316064 is an abundant number, since it is smaller than the sum of its proper divisors (18343136).

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

14316064 is an equidigital number, since it uses as much as digits as its factorization.

14316064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 14316064 is about 3783.6574897842. The cubic root of 14316064 is about 242.8144586707.

The spelling of 14316064 in words is "fourteen million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 553 632 809 1106 1264 1618 2212 2528 3236 4424 5663 6472 8848 11326 12944 17696 22652 25888 45304 63911 90608 127822 181216 255644 447377 511288 894754 1022576 1789508 2045152 3579016 7158032 14316064