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14147296 = 25412263
BaseRepresentation
bin110101111101…
…111011100000
3222121202102221
4311331323200
512110203141
61223120424
7231151522
oct65757340
928552387
1014147296
117a93089
1248a3114
132c144a7
141c43a12
151396bd1
hexd7dee0

14147296 has 36 divisors (see below), whose sum is σ = 28656936. Its totient is φ = 6874880.

The previous prime is 14147291. The next prime is 14147299. The reversal of 14147296 is 69274141.

It is a super-2 number, since 2×141472962 = 400291968223232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14147291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 53661 + ... + 53923.

It is an arithmetic number, because the mean of its divisors is an integer number (796026).

Almost surely, 214147296 is an apocalyptic number.

14147296 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 14147296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14328468).

14147296 is an abundant number, since it is smaller than the sum of its proper divisors (14509640).

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

14147296 is an equidigital number, since it uses as much as digits as its factorization.

14147296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 306 counting only the distinct ones).

The product of its digits is 12096, while the sum is 34.

The square root of 14147296 is about 3761.2891407069. The cubic root of 14147296 is about 241.8565276663.

The spelling of 14147296 in words is "fourteen million, one hundred forty-seven thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 41 82 164 263 328 526 656 1052 1312 1681 2104 3362 4208 6724 8416 10783 13448 21566 26896 43132 53792 86264 172528 345056 442103 884206 1768412 3536824 7073648 14147296