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14042112 = 21037653
BaseRepresentation
bin110101100100…
…010000000000
3222102102011020
4311210100000
512043321422
61220545440
7230233050
oct65442000
928372136
1014042112
117a21057
124852280
132ba8656
141c17560
15137595c
hexd64400

14042112 has 88 divisors (see below), whose sum is σ = 42839616. Its totient is φ = 4005888.

The previous prime is 14042111. The next prime is 14042117. The reversal of 14042112 is 21124041.

It is a nialpdrome in base 8 and base 16.

It is a junction number, because it is equal to n+sod(n) for n = 14042091 and 14042100.

It is not an unprimeable number, because it can be changed into a prime (14042111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21178 + ... + 21830.

Almost surely, 214042112 is an apocalyptic number.

14042112 is a gapful number since it is divisible by the number (12) 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 14042112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21419808).

14042112 is an abundant number, since it is smaller than the sum of its proper divisors (28797504).

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

14042112 is an equidigital number, since it uses as much as digits as its factorization.

14042112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 14042112 is about 3747.2806139920. The cubic root of 14042112 is about 241.2556414513.

Adding to 14042112 its reverse (21124041), we get a palindrome (35166153).

The spelling of 14042112 in words is "fourteen million, forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 653 672 768 896 1024 1306 1344 1536 1792 1959 2612 2688 3072 3584 3918 4571 5224 5376 7168 7836 9142 10448 10752 13713 15672 18284 20896 21504 27426 31344 36568 41792 54852 62688 73136 83584 109704 125376 146272 167168 219408 250752 292544 334336 438816 501504 585088 668672 877632 1003008 1170176 1755264 2006016 2340352 3510528 4680704 7021056 14042112