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14023936 = 28291889
BaseRepresentation
bin110101011111…
…110100000000
3222101111020001
4311133310000
512042231221
61220325344
7230126053
oct65376400
928344201
1014023936
117a09433
124843854
132ba02b4
141c10a9a
151370391
hexd5fd00

14023936 has 36 divisors (see below), whose sum is σ = 28973700. Its totient is φ = 6766592.

The previous prime is 14023921. The next prime is 14023937. The reversal of 14023936 is 63932041.

14023936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 7054336 + 6969600 = 2656^2 + 2640^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14023937) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6480 + ... + 8368.

It is an arithmetic number, because the mean of its divisors is an integer number (804825).

Almost surely, 214023936 is an apocalyptic number.

14023936 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 14023936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14486850).

14023936 is an abundant number, since it is smaller than the sum of its proper divisors (14949764).

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

14023936 is an equidigital number, since it uses as much as digits as its factorization.

14023936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1934 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 14023936 is about 3744.8546033191. The cubic root of 14023936 is about 241.1515033678.

Adding to 14023936 its reverse (63932041), we get a palindrome (77955977).

The spelling of 14023936 in words is "fourteen million, twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 928 1856 1889 3712 3778 7424 7556 15112 30224 54781 60448 109562 120896 219124 241792 438248 483584 876496 1752992 3505984 7011968 14023936