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14688096 = 253153001
BaseRepresentation
bin111000000001…
…111101100000
31000122020021120
4320001331200
512230004341
61242452240
7235563303
oct70017540
930566246
1014688096
118322425
124b04080
1330736a7
141d44b3a
151452066
hexe01f60

14688096 has 24 divisors (see below), whose sum is σ = 38556504. Its totient is φ = 4896000.

The previous prime is 14688073. The next prime is 14688131. The reversal of 14688096 is 69088641.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

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, 76405 + ... + 76596.

It is an arithmetic number, because the mean of its divisors is an integer number (1606521).

Almost surely, 214688096 is an apocalyptic number.

14688096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14688096 is an abundant number, since it is smaller than the sum of its proper divisors (23868408).

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

14688096 is a wasteful number, since it uses less digits than its factorization.

14688096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153014 (or 153006 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 14688096 is about 3832.5051859065. The cubic root of 14688096 is about 244.8998396636.

The spelling of 14688096 in words is "fourteen million, six hundred eighty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 153001 306002 459003 612004 918006 1224008 1836012 2448016 3672024 4896032 7344048 14688096