Search a number
-
+
14050036 = 2271131329
BaseRepresentation
bin110101100110…
…001011110100
3222102211000201
4311212023310
512044100121
61221050244
7230265130
oct65461364
928384021
1014050036
117a27000
124856984
132bac140
141c1a3c0
151377e91
hexd662f4

14050036 has 96 divisors (see below), whose sum is σ = 34433280. Its totient is φ = 4878720.

The previous prime is 14050031. The next prime is 14050051. The reversal of 14050036 is 63005041.

It is a super-3 number, since 3×140500363 (a number of 22 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14049995 and 14050022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14050031) 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 31 ways as a sum of consecutive naturals, for example, 484470 + ... + 484498.

It is an arithmetic number, because the mean of its divisors is an integer number (358680).

Almost surely, 214050036 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 14050036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17216640).

14050036 is an abundant number, since it is smaller than the sum of its proper divisors (20383244).

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

14050036 is a wasteful number, since it uses less digits than its factorization.

14050036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 14050036 is about 3748.3377649299. The cubic root of 14050036 is about 241.3010133113.

Adding to 14050036 its reverse (63005041), we get a palindrome (77055077).

It can be divided in two parts, 140 and 50036, that added together give a square (50176 = 2242).

The spelling of 14050036 in words is "fourteen million, fifty thousand, thirty-six".

Divisors: 1 2 4 7 11 13 14 22 26 28 29 44 52 58 77 91 116 121 143 154 182 203 242 286 308 319 364 377 406 484 572 638 754 812 847 1001 1276 1331 1508 1573 1694 2002 2233 2639 2662 3146 3388 3509 4004 4147 4466 5278 5324 6292 7018 8294 8932 9317 10556 11011 14036 16588 17303 18634 22022 24563 29029 34606 37268 38599 44044 45617 49126 58058 69212 77198 91234 98252 116116 121121 154396 182468 242242 270193 319319 484484 501787 540386 638638 1003574 1080772 1277276 2007148 3512509 7025018 14050036