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14281840 = 2451671069
BaseRepresentation
bin110110011110…
…110001110000
3222212121000001
4312132301300
512124004330
61230035344
7232252006
oct66366160
928777001
1014281840
118075181
124948b54
132c607c1
141c7aa76
1513c19ca
hexd9ec70

14281840 has 40 divisors (see below), whose sum is σ = 33435360. Its totient is φ = 5673216.

The previous prime is 14281831. The next prime is 14281847. The reversal of 14281840 is 4818241.

14281840 is a nontrivial binomial coefficient, being equal to C(5345, 2).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 14281799 and 14281808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14281847) 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 7 ways as a sum of consecutive naturals, for example, 12826 + ... + 13894.

It is an arithmetic number, because the mean of its divisors is an integer number (835884).

Almost surely, 214281840 is an apocalyptic number.

14281840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14281840 is the 5344-th triangular number.

14281840 is the 1782-nd centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14281840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717680).

14281840 is an abundant number, since it is smaller than the sum of its proper divisors (19153520).

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

14281840 is a wasteful number, since it uses less digits than its factorization.

14281840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1243 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 28.

The square root of 14281840 is about 3779.1321755133. The cubic root of 14281840 is about 242.6208134324.

The spelling of 14281840 in words is "fourteen million, two hundred eighty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 167 334 668 835 1069 1336 1670 2138 2672 3340 4276 5345 6680 8552 10690 13360 17104 21380 42760 85520 178523 357046 714092 892615 1428184 1785230 2856368 3570460 7140920 14281840