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14531296 = 251322687
BaseRepresentation
bin110111011011…
…101011100000
31000100021012011
4313123223200
512210000141
61235242304
7234341203
oct67335340
930307164
1014531296
11822563a
124a49394
13301a200
141d0393a
151420881
hexddbae0

14531296 has 36 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 6704256.

The previous prime is 14531267. The next prime is 14531303. The reversal of 14531296 is 69213541.

It is a super-2 number, since 2×145312962 = 422317126879232, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4065 + ... + 6751.

It is an arithmetic number, because the mean of its divisors is an integer number (860832).

Almost surely, 214531296 is an apocalyptic number.

14531296 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 14531296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976).

14531296 is an abundant number, since it is smaller than the sum of its proper divisors (16458656).

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

14531296 is a wasteful number, since it uses less digits than its factorization.

14531296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2723 (or 2702 counting only the distinct ones).

The product of its digits is 6480, while the sum is 31.

The square root of 14531296 is about 3811.9937040871. The cubic root of 14531296 is about 244.0252594113.

The spelling of 14531296 in words is "fourteen million, five hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 104 169 208 338 416 676 1352 2687 2704 5374 5408 10748 21496 34931 42992 69862 85984 139724 279448 454103 558896 908206 1117792 1816412 3632824 7265648 14531296