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14281416 = 23321391427
BaseRepresentation
bin110110011110…
…101011001000
3222212120102100
4312132223020
512124001131
61230033400
7232250532
oct66365310
928776370
1014281416
118074926
124948860
132c60556
141c7a852
1513c17e6
hexd9eac8

14281416 has 48 divisors (see below), whose sum is σ = 38984400. Its totient is φ = 4722912.

The previous prime is 14281391. The next prime is 14281417. The reversal of 14281416 is 61418241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 14281416.

It is not an unprimeable number, because it can be changed into a prime (14281417) 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, 9295 + ... + 10721.

It is an arithmetic number, because the mean of its divisors is an integer number (812175).

Almost surely, 214281416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14281416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492200).

14281416 is an abundant number, since it is smaller than the sum of its proper divisors (24702984).

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

14281416 is a wasteful number, since it uses less digits than its factorization.

14281416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1571 counting only the distinct ones).

The product of its digits is 1536, while the sum is 27.

The square root of 14281416 is about 3779.0760775618. The cubic root of 14281416 is about 242.6184124289.

Adding to 14281416 its reverse (61418241), we get a palindrome (75699657).

The spelling of 14281416 in words is "fourteen million, two hundred eighty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1427 1668 2502 2854 3336 4281 5004 5708 8562 10008 11416 12843 17124 25686 34248 51372 102744 198353 396706 595059 793412 1190118 1586824 1785177 2380236 3570354 4760472 7140708 14281416