Search a number
-
+
12646172 = 22711192161
BaseRepresentation
bin110000001111…
…011100011100
3212210111021202
4300033130130
511214134142
61131015032
7212330210
oct60173434
925714252
1012646172
117158290
12429a478
13280a156
141972940
15119c032
hexc0f71c

12646172 has 48 divisors (see below), whose sum is σ = 29057280. Its totient is φ = 4665600.

The previous prime is 12646141. The next prime is 12646177. The reversal of 12646172 is 27164621.

12646172 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12646177) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4772 + ... + 6932.

It is an arithmetic number, because the mean of its divisors is an integer number (605360).

Almost surely, 212646172 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 12646172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14528640).

12646172 is an abundant number, since it is smaller than the sum of its proper divisors (16411108).

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

12646172 is a wasteful number, since it uses less digits than its factorization.

12646172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2202 (or 2200 counting only the distinct ones).

The product of its digits is 4032, while the sum is 29.

The square root of 12646172 is about 3556.1456663078. The cubic root of 12646172 is about 232.9805653447.

The spelling of 12646172 in words is "twelve million, six hundred forty-six thousand, one hundred seventy-two".

Divisors: 1 2 4 7 11 14 19 22 28 38 44 76 77 133 154 209 266 308 418 532 836 1463 2161 2926 4322 5852 8644 15127 23771 30254 41059 47542 60508 82118 95084 164236 166397 287413 332794 451649 574826 665588 903298 1149652 1806596 3161543 6323086 12646172