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14027200 = 265211797
BaseRepresentation
bin110101100000…
…100111000000
3222101122200221
4311200213000
512042332300
61220352424
7230141425
oct65404700
928348627
1014027200
117a10930
124845714
132ba1925
141c11d4c
15137131a
hexd609c0

14027200 has 84 divisors (see below), whose sum is σ = 37700712. Its totient is φ = 5094400.

The previous prime is 14027179. The next prime is 14027203. The reversal of 14027200 is 272041.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14027203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17202 + ... + 17998.

It is an arithmetic number, because the mean of its divisors is an integer number (448818).

Almost surely, 214027200 is an apocalyptic number.

14027200 is a gapful number since it is divisible by the number (10) 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 14027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18850356).

14027200 is an abundant number, since it is smaller than the sum of its proper divisors (23673512).

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

14027200 is a wasteful number, since it uses less digits than its factorization.

14027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 14027200 is about 3745.2903759255. The cubic root of 14027200 is about 241.1702108464.

Adding to 14027200 its reverse (272041), we get a palindrome (14299241).

The spelling of 14027200 in words is "fourteen million, twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 797 800 880 1100 1594 1600 1760 2200 3188 3520 3985 4400 6376 7970 8767 8800 12752 15940 17534 17600 19925 25504 31880 35068 39850 43835 51008 63760 70136 79700 87670 127520 140272 159400 175340 219175 255040 280544 318800 350680 438350 561088 637600 701360 876700 1275200 1402720 1753400 2805440 3506800 7013600 14027200