Search a number
-
+
14185944 = 2332732699
BaseRepresentation
bin110110000111…
…010111011000
3222200201110100
4312013113120
512112422234
61224015400
7231402303
oct66072730
928621410
1014185944
11800a123
124901560
132c28c66
141c53b3a
1513a3399
hexd875d8

14185944 has 48 divisors (see below), whose sum is σ = 38961000. Its totient is φ = 4662144.

The previous prime is 14185931. The next prime is 14185949. The reversal of 14185944 is 44958141.

It is a super-2 number, since 2×141859442 = 402482014342272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14185899 and 14185908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14185949) 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, 3907 + ... + 6605.

Almost surely, 214185944 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 14185944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19480500).

14185944 is an abundant number, since it is smaller than the sum of its proper divisors (24775056).

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

14185944 is a wasteful number, since it uses less digits than its factorization.

14185944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 2777 counting only the distinct ones).

The product of its digits is 23040, while the sum is 36.

The square root of 14185944 is about 3766.4232369716. The cubic root of 14185944 is about 242.0765643494.

It can be divided in two parts, 14185 and 944, that added together give a square (15129 = 1232).

The spelling of 14185944 in words is "fourteen million, one hundred eighty-five thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 2699 5256 5398 8097 10796 16194 21592 24291 32388 48582 64776 97164 194328 197027 394054 591081 788108 1182162 1576216 1773243 2364324 3546486 4728648 7092972 14185944