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14113296 = 243298009
BaseRepresentation
bin110101110101…
…101000010000
3222120000210200
4311311220100
512103111141
61222255200
7230650431
oct65655020
928500720
1014113296
117a6a58a
124887500
132c01b82
141c35488
15138bab6
hexd75a10

14113296 has 30 divisors (see below), whose sum is σ = 39498030. Its totient is φ = 4704384.

The previous prime is 14113291. The next prime is 14113303. The reversal of 14113296 is 69231141.

It can be written as a sum of positive squares in only one way, i.e., 10653696 + 3459600 = 3264^2 + 1860^2 .

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14113291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48861 + ... + 49148.

It is an arithmetic number, because the mean of its divisors is an integer number (1316601).

Almost surely, 214113296 is an apocalyptic number.

14113296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14113296 is an abundant number, since it is smaller than the sum of its proper divisors (25384734).

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

14113296 is a wasteful number, since it uses less digits than its factorization.

14113296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98023 (or 98014 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

The square root of 14113296 is about 3756.7666949120. The cubic root of 14113296 is about 241.6626221017.

The spelling of 14113296 in words is "fourteen million, one hundred thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 98009 196018 294027 392036 588054 784072 882081 1176108 1568144 1764162 2352216 3528324 4704432 7056648 14113296