Search a number
-
+
14200004 = 2272135573
BaseRepresentation
bin110110001010…
…110011000100
3222201102202002
4312022303010
512113400004
61224204432
7231461300
oct66126304
928642662
1014200004
118019745
124909718
132c32490
141c58d00
1513a761e
hexd8acc4

14200004 has 36 divisors (see below), whose sum is σ = 31136364. Its totient is φ = 5616576.

The previous prime is 14200003. The next prime is 14200009. The reversal of 14200004 is 40000241.

It can be written as a sum of positive squares in 2 ways, for example, as 1254400 + 12945604 = 1120^2 + 3598^2 .

It is a super-2 number, since 2×142000042 = 403280227200032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14200001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239 + ... + 5334.

It is an arithmetic number, because the mean of its divisors is an integer number (864899).

Almost surely, 214200004 is an apocalyptic number.

14200004 is a gapful number since it is divisible by the number (14) 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 14200004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568182).

14200004 is an abundant number, since it is smaller than the sum of its proper divisors (16936360).

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

14200004 is a wasteful number, since it uses less digits than its factorization.

14200004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5604 (or 5595 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 14200004 is about 3768.2892670282. The cubic root of 14200004 is about 242.1565137381.

Adding to 14200004 its reverse (40000241), we get a palindrome (54200245).

The spelling of 14200004 in words is "fourteen million, two hundred thousand, four".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 2548 5573 11146 22292 39011 72449 78022 144898 156044 273077 289796 507143 546154 1014286 1092308 2028572 3550001 7100002 14200004