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14358096 = 243299709
BaseRepresentation
bin110110110001…
…011001010000
31000000110121100
4312301121100
512133424341
61231424400
7233020224
oct66613120
930013540
1014358096
1181174a5
124985100
132c8941c
141c9a784
1513d93b6
hexdb1650

14358096 has 30 divisors (see below), whose sum is σ = 40183130. Its totient is φ = 4785984.

The previous prime is 14358089. The next prime is 14358107. The reversal of 14358096 is 69085341.

It can be written as a sum of positive squares in only one way, i.e., 14288400 + 69696 = 3780^2 + 264^2 .

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 14358096.

It is a congruent number.

It is an unprimeable number.

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, 49711 + ... + 49998.

Almost surely, 214358096 is an apocalyptic number.

14358096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14358096 is an abundant number, since it is smaller than the sum of its proper divisors (25825034).

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

14358096 is a wasteful number, since it uses less digits than its factorization.

14358096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99723 (or 99714 counting only the distinct ones).

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

The square root of 14358096 is about 3789.2078327798. The cubic root of 14358096 is about 243.0518611050.

The spelling of 14358096 in words is "fourteen million, three hundred fifty-eight thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 99709 199418 299127 398836 598254 797672 897381 1196508 1595344 1794762 2393016 3589524 4786032 7179048 14358096