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12243776 = 261131693
BaseRepresentation
bin101110101101…
…001101000000
3212001001022012
4232231031000
511113300101
61114232052
7206033066
oct56551500
925031265
1012243776
116a02a26
124125628
1326c8c4c
1418aa036
15111cbbb
hexbad340

12243776 has 28 divisors (see below), whose sum is σ = 24525732. Its totient is φ = 6064128.

The previous prime is 12243773. The next prime is 12243787. The reversal of 12243776 is 67734221.

It can be written as a sum of positive squares in 2 ways, for example, as 1849600 + 10394176 = 1360^2 + 3224^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12243773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6386 + ... + 8078.

It is an arithmetic number, because the mean of its divisors is an integer number (875919).

Almost surely, 212243776 is an apocalyptic number.

12243776 is a gapful number since it is divisible by the number (16) 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 12243776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12262866).

12243776 is an abundant number, since it is smaller than the sum of its proper divisors (12281956).

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

12243776 is a wasteful number, since it uses less digits than its factorization.

12243776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1808 counting only the distinct ones).

The product of its digits is 14112, while the sum is 32.

The square root of 12243776 is about 3499.1107441749. The cubic root of 12243776 is about 230.4827666890.

Adding to 12243776 its reverse (67734221), we get a palindrome (79977997).

The spelling of 12243776 in words is "twelve million, two hundred forty-three thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1693 1808 3386 3616 6772 7232 13544 27088 54176 108352 191309 382618 765236 1530472 3060944 6121888 12243776