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14285696 = 27233479
BaseRepresentation
bin110110011111…
…101110000000
3222212210021212
4312133232000
512124120241
61230105252
7232266155
oct66375600
928783255
1014285696
118078067
12494b228
132c62499
141c7c22c
1513c2beb
hexd9fb80

14285696 has 32 divisors (see below), whose sum is σ = 28641600. Its totient is φ = 7097344.

The previous prime is 14285693. The next prime is 14285717. The reversal of 14285696 is 69658241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×142856962 = 408162220408832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14285693) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29585 + ... + 30063.

It is an arithmetic number, because the mean of its divisors is an integer number (895050).

Almost surely, 214285696 is an apocalyptic number.

14285696 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 14285696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14320800).

14285696 is an abundant number, since it is smaller than the sum of its proper divisors (14355904).

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

14285696 is an equidigital number, since it uses as much as digits as its factorization.

14285696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 14285696 is about 3779.6423111189. The cubic root of 14285696 is about 242.6426467926.

The spelling of 14285696 in words is "fourteen million, two hundred eighty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 64 128 233 466 479 932 958 1864 1916 3728 3832 7456 7664 14912 15328 29824 30656 61312 111607 223214 446428 892856 1785712 3571424 7142848 14285696