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14468096 = 21071199
BaseRepresentation
bin110111001100…
…010000000000
31000020001111102
4313030100000
512200434341
61234033532
7233656016
oct67142000
930201442
1014468096
118192105
124a188a8
132cc7506
141cc88b6
15140bc9b
hexdcc400

14468096 has 44 divisors (see below), whose sum is σ = 29476800. Its totient is φ = 7096320.

The previous prime is 14468087. The next prime is 14468117. The reversal of 14468096 is 69086441.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 72605 + ... + 72803.

Almost surely, 214468096 is an apocalyptic number.

14468096 is a gapful number since it is divisible by the number (16) 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 14468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14738400).

14468096 is an abundant number, since it is smaller than the sum of its proper divisors (15008704).

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

14468096 is an equidigital number, since it uses as much as digits as its factorization.

14468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 14468096 is about 3803.6950456103. The cubic root of 14468096 is about 243.6709710049.

The spelling of 14468096 in words is "fourteen million, four hundred sixty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 71 128 142 199 256 284 398 512 568 796 1024 1136 1592 2272 3184 4544 6368 9088 12736 14129 18176 25472 28258 36352 50944 56516 72704 101888 113032 203776 226064 452128 904256 1808512 3617024 7234048 14468096