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14396064 = 253295171
BaseRepresentation
bin110110111010…
…101010100000
31000002101200120
4312322222200
512141133224
61232320240
7233236014
oct66725240
930071616
1014396064
118142a81
1249a3080
132ca07a7
141caa544
1513e5779
hexdbaaa0

14396064 has 48 divisors (see below), whose sum is σ = 39100320. Its totient is φ = 4632320.

The previous prime is 14396051. The next prime is 14396077. The reversal of 14396064 is 46069341.

14396064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14396051) and next prime (14396077).

It is a tau number, because it is divible by the number of its divisors (48).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199 + ... + 5369.

It is an arithmetic number, because the mean of its divisors is an integer number (814590).

Almost surely, 214396064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14396064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19550160).

14396064 is an abundant number, since it is smaller than the sum of its proper divisors (24704256).

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

14396064 is a wasteful number, since it uses less digits than its factorization.

14396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5213 (or 5205 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 14396064 is about 3794.2145432224. The cubic root of 14396064 is about 243.2659115558.

It can be divided in two parts, 1439 and 6064, that added together give a triangular number (7503 = T122).

The spelling of 14396064 in words is "fourteen million, three hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2784 5171 10342 15513 20684 31026 41368 62052 82736 124104 149959 165472 248208 299918 449877 496416 599836 899754 1199672 1799508 2399344 3599016 4798688 7198032 14396064