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12712014 = 2327233433
BaseRepresentation
bin110000011111…
…100001001110
3212220211121100
4300133201032
511223241024
61132243530
7213023160
oct60374116
925824540
1012712014
1171a27a7
1243105a6
132831103
14198c930
1511b17c9
hexc1f84e

12712014 has 48 divisors (see below), whose sum is σ = 31685472. Its totient is φ = 3608064.

The previous prime is 12712003. The next prime is 12712033. The reversal of 12712014 is 41021721.

12712014 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29142 + ... + 29574.

It is an arithmetic number, because the mean of its divisors is an integer number (660114).

Almost surely, 212712014 is an apocalyptic number.

12712014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12712014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15842736).

12712014 is an abundant number, since it is smaller than the sum of its proper divisors (18973458).

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

12712014 is a wasteful number, since it uses less digits than its factorization.

12712014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 12712014 is about 3565.3911426378. The cubic root of 12712014 is about 233.3842016080.

Adding to 12712014 its reverse (41021721), we get a palindrome (53733735).

The spelling of 12712014 in words is "twelve million, seven hundred twelve thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 233 433 466 699 866 1299 1398 1631 2097 2598 3031 3262 3897 4194 4893 6062 7794 9093 9786 14679 18186 27279 29358 54558 100889 201778 302667 605334 706223 908001 1412446 1816002 2118669 4237338 6356007 12712014