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14023200 = 253525843
BaseRepresentation
bin110101011111…
…101000100000
3222101110012210
4311133220200
512042220300
61220322120
7230123652
oct65375040
928343183
1014023200
117a08924
124843340
132b9cb69
141c106d2
151370050
hexd5fa20

14023200 has 72 divisors (see below), whose sum is σ = 45653328. Its totient is φ = 3738880.

The previous prime is 14023171. The next prime is 14023201. The reversal of 14023200 is 232041.

14023200 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×140232004 (a number of 30 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (14023201) 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, 522 + ... + 5321.

It is an arithmetic number, because the mean of its divisors is an integer number (634074).

Almost surely, 214023200 is an apocalyptic number.

14023200 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 14023200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22826664).

14023200 is an abundant number, since it is smaller than the sum of its proper divisors (31630128).

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

14023200 is a wasteful number, since it uses less digits than its factorization.

14023200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5866 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 14023200 is about 3744.7563338621. The cubic root of 14023200 is about 241.1472846137.

Adding to 14023200 its reverse (232041), we get a palindrome (14255241).

The spelling of 14023200 in words is "fourteen million, twenty-three thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2400 5843 11686 17529 23372 29215 35058 46744 58430 70116 87645 93488 116860 140232 146075 175290 186976 233720 280464 292150 350580 438225 467440 560928 584300 701160 876450 934880 1168600 1402320 1752900 2337200 2804640 3505800 4674400 7011600 14023200