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14456196 = 22323710853
BaseRepresentation
bin110111001001…
…010110000100
31000012110011200
4313021112010
512200044241
61233502500
7233606226
oct67112604
930173150
1014456196
118184177
124a11a30
132cc1c81
141cc4416
1514084b6
hexdc9584

14456196 has 36 divisors (see below), whose sum is σ = 37533132. Its totient is φ = 4688064.

The previous prime is 14456191. The next prime is 14456209. The reversal of 14456196 is 69165441.

14456196 is a `hidden beast` number, since 1 + 4 + 4 + 561 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 10653696 + 3802500 = 3264^2 + 1950^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14456196.

It is not an unprimeable number, because it can be changed into a prime (14456191) 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 11 ways as a sum of consecutive naturals, for example, 4095 + ... + 6758.

It is an arithmetic number, because the mean of its divisors is an integer number (1042587).

Almost surely, 214456196 is an apocalyptic number.

It is an amenable number.

14456196 is an abundant number, since it is smaller than the sum of its proper divisors (23076936).

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

14456196 is a wasteful number, since it uses less digits than its factorization.

14456196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10900 (or 10895 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 14456196 is about 3802.1304554158. The cubic root of 14456196 is about 243.6041462729.

The spelling of 14456196 in words is "fourteen million, four hundred fifty-six thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 10853 21706 32559 43412 65118 97677 130236 195354 390708 401561 803122 1204683 1606244 2409366 3614049 4818732 7228098 14456196