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14000756 = 22711131347
BaseRepresentation
bin110101011010…
…001001110100
3222100022102112
4311122021310
512041011011
61220030152
7230001350
oct65321164
928308375
1014000756
1179a2a80
124832358
132b92893
141c06460
15136858b
hexd5a274

14000756 has 48 divisors (see below), whose sum is σ = 30868992. Its totient is φ = 5397600.

The previous prime is 14000731. The next prime is 14000761. The reversal of 14000756 is 65700041.

14000756 = T393 + T394 + ... + T524.

14000756 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-3 number, since 3×140007563 (a number of 22 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40175 + ... + 40521.

It is an arithmetic number, because the mean of its divisors is an integer number (643104).

Almost surely, 214000756 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 14000756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15434496).

14000756 is an abundant number, since it is smaller than the sum of its proper divisors (16868236).

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

14000756 is a wasteful number, since it uses less digits than its factorization.

14000756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500 (or 498 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 14000756 is about 3741.7584101596. The cubic root of 14000756 is about 241.0185645955.

Adding to 14000756 its reverse (65700041), we get a palindrome (79700797).

The spelling of 14000756 in words is "fourteen million, seven hundred fifty-six", and thus it is an aban number.

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 347 524 694 917 1388 1441 1834 2429 2882 3668 3817 4858 5764 7634 9716 10087 15268 20174 26719 40348 45457 53438 90914 106876 181828 318199 500027 636398 1000054 1272796 2000108 3500189 7000378 14000756