Search a number
-
+
12312664 = 2371321301
BaseRepresentation
bin101110111110…
…000001011000
3212011112210121
4232332001120
511123001124
61115523024
7206440660
oct56760130
925145717
1012312664
116a4a761
124159474
132721400
1418c71a0
1511332e4
hexbbe058

12312664 has 48 divisors (see below), whose sum is σ = 28591920. Its totient is φ = 4867200.

The previous prime is 12312661. The next prime is 12312683. The reversal of 12312664 is 46621321.

12312664 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 (12312661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8814 + ... + 10114.

It is an arithmetic number, because the mean of its divisors is an integer number (595665).

Almost surely, 212312664 is an apocalyptic number.

12312664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12312664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14295960).

12312664 is an abundant number, since it is smaller than the sum of its proper divisors (16279256).

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

12312664 is a wasteful number, since it uses less digits than its factorization.

12312664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its digits is 1728, while the sum is 25.

The square root of 12312664 is about 3508.9405808591. The cubic root of 12312664 is about 230.9142188818.

Adding to 12312664 its reverse (46621321), we get a palindrome (58933985).

The spelling of 12312664 in words is "twelve million, three hundred twelve thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 169 182 338 364 676 728 1183 1301 1352 2366 2602 4732 5204 9107 9464 10408 16913 18214 33826 36428 67652 72856 118391 135304 219869 236782 439738 473564 879476 947128 1539083 1758952 3078166 6156332 12312664