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14185696 = 257283109
BaseRepresentation
bin110110000111…
…010011100000
3222200201010011
4312013103200
512112420241
61224014304
7231401500
oct66072340
928621104
1014185696
118009a18
124901394
132c28b05
141c53a00
1513a3281
hexd874e0

14185696 has 72 divisors (see below), whose sum is σ = 33180840. Its totient is φ = 5951232.

The previous prime is 14185679. The next prime is 14185697. The reversal of 14185696 is 69658141.

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

Its product of digits (51840) is a multiple of the sum of its prime factors (216).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14185697) 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, 130090 + ... + 130198.

It is an arithmetic number, because the mean of its divisors is an integer number (460845).

Almost surely, 214185696 is an apocalyptic number.

14185696 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 14185696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16590420).

14185696 is an abundant number, since it is smaller than the sum of its proper divisors (18995144).

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

14185696 is a wasteful number, since it uses less digits than its factorization.

14185696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 201 counting only the distinct ones).

The product of its digits is 51840, while the sum is 40.

The square root of 14185696 is about 3766.3903143461. The cubic root of 14185696 is about 242.0751536728.

The spelling of 14185696 in words is "fourteen million, one hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 83 98 109 112 166 196 218 224 332 392 436 581 664 763 784 872 1162 1328 1526 1568 1744 2324 2656 3052 3488 4067 4648 5341 6104 8134 9047 9296 10682 12208 16268 18094 18592 21364 24416 32536 36188 42728 63329 65072 72376 85456 126658 130144 144752 170912 253316 289504 443303 506632 886606 1013264 1773212 2026528 3546424 7092848 14185696