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14023296 = 273273747
BaseRepresentation
bin110101011111…
…101010000000
3222101110100100
4311133222000
512042221141
61220322400
7230124150
oct65375200
928343310
1014023296
117a08a01
124843400
132b9cc11
141c10760
1513700b6
hexd5fa80

14023296 has 192 divisors, whose sum is σ = 48372480. Its totient is φ = 3815424.

The previous prime is 14023279. The next prime is 14023319. The reversal of 14023296 is 69232041.

14023296 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 298345 + ... + 298391.

It is an arithmetic number, because the mean of its divisors is an integer number (251940).

Almost surely, 214023296 is an apocalyptic number.

14023296 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 14023296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24186240).

14023296 is an abundant number, since it is smaller than the sum of its proper divisors (34349184).

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

14023296 is a wasteful number, since it uses less digits than its factorization.

14023296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14023296 is about 3744.7691517636. The cubic root of 14023296 is about 241.1478348943.

It can be divided in two parts, 140 and 23296, that added together give a triangular number (23436 = T216).

The spelling of 14023296 in words is "fourteen million, twenty-three thousand, two hundred ninety-six".