Search a number
-
+
14003872 = 252353359
BaseRepresentation
bin110101011010…
…111010100000
3222100110200221
4311122322200
512041110442
61220052424
7230013421
oct65327240
928313627
1014003872
1179a5353
124834114
132b9411c
141c07648
151369467
hexd5aea0

14003872 has 48 divisors (see below), whose sum is σ = 29393280. Its totient is φ = 6552832.

The previous prime is 14003867. The next prime is 14003881. The reversal of 14003872 is 27830041.

14003872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×140038722 = 392216861984768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38829 + ... + 39187.

It is an arithmetic number, because the mean of its divisors is an integer number (612360).

Almost surely, 214003872 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 14003872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14696640).

14003872 is an abundant number, since it is smaller than the sum of its proper divisors (15389408).

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

14003872 is a wasteful number, since it uses less digits than its factorization.

14003872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 25.

The square root of 14003872 is about 3742.1747687675. The cubic root of 14003872 is about 241.0364435857.

The spelling of 14003872 in words is "fourteen million, three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 53 92 106 184 212 359 368 424 718 736 848 1219 1436 1696 2438 2872 4876 5744 8257 9752 11488 16514 19027 19504 33028 38054 39008 66056 76108 132112 152216 264224 304432 437621 608864 875242 1750484 3500968 7001936 14003872