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14011300 = 2252167839
BaseRepresentation
bin110101011100…
…101110100100
3222100211220001
4311130232210
512041330200
61220151044
7230044162
oct65345644
928324801
1014011300
1179aa996
124838484
132b97614
141c0a232
15136b76a
hexd5cba4

14011300 has 36 divisors (see below), whose sum is σ = 30623040. Its totient is φ = 5564320.

The previous prime is 14011297. The next prime is 14011307. The reversal of 14011300 is 311041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (14011307) 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 11 ways as a sum of consecutive naturals, for example, 16281 + ... + 17119.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 214011300 is an apocalyptic number.

14011300 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 14011300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15311520).

14011300 is an abundant number, since it is smaller than the sum of its proper divisors (16611740).

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

14011300 is a wasteful number, since it uses less digits than its factorization.

14011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 14011300 is about 3743.1671082120. The cubic root of 14011300 is about 241.0790532829.

Adding to 14011300 its reverse (311041), we get a palindrome (14322341).

It can be divided in two parts, 1401 and 1300, that added together give a triangular number (2701 = T73).

The spelling of 14011300 in words is "fourteen million, eleven thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 167 334 668 835 839 1670 1678 3340 3356 4175 4195 8350 8390 16700 16780 20975 41950 83900 140113 280226 560452 700565 1401130 2802260 3502825 7005650 14011300