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12316632 = 2334761179
BaseRepresentation
bin101110111110…
…111111011000
3212011202020120
4232332333120
511123113012
61115553240
7206455356
oct56767730
925152216
1012316632
116a52739
12415b820
132723163
1418c87d6
15113458c
hexbbefd8

12316632 has 64 divisors (see below), whose sum is σ = 32140800. Its totient is φ = 3930240.

The previous prime is 12316631. The next prime is 12316639. The reversal of 12316632 is 23661321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12316631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68719 + ... + 68897.

It is an arithmetic number, because the mean of its divisors is an integer number (502200).

Almost surely, 212316632 is an apocalyptic number.

12316632 is a gapful number since it is divisible by the number (12) 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 12316632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16070400).

12316632 is an abundant number, since it is smaller than the sum of its proper divisors (19824168).

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

12316632 is a wasteful number, since it uses less digits than its factorization.

12316632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 292 counting only the distinct ones).

The product of its digits is 1296, while the sum is 24.

The square root of 12316632 is about 3509.5059481357. The cubic root of 12316632 is about 230.9390217788.

Adding to 12316632 its reverse (23661321), we get a palindrome (35977953).

It can be divided in two parts, 1231663 and 2, that added together give a triangular number (1231665 = T1569).

The spelling of 12316632 in words is "twelve million, three hundred sixteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 47 61 94 122 141 179 183 188 244 282 358 366 376 488 537 564 716 732 1074 1128 1432 1464 2148 2867 4296 5734 8413 8601 10919 11468 16826 17202 21838 22936 25239 32757 33652 34404 43676 50478 65514 67304 68808 87352 100956 131028 201912 262056 513193 1026386 1539579 2052772 3079158 4105544 6158316 12316632