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12320364 = 2237223911
BaseRepresentation
bin101110111111…
…111001101100
3212011221100210
4232333321230
511123222424
61120022420
7206502300
oct56777154
925157323
1012320364
116a55521
124161a10
132724a74
1418c9d00
151135729
hexbbfe6c

12320364 has 72 divisors (see below), whose sum is σ = 34933248. Its totient is φ = 3363360.

The previous prime is 12320351. The next prime is 12320369. The reversal of 12320364 is 46302321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 12320364.

It is not an unprimeable number, because it can be changed into a prime (12320369) 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 23 ways as a sum of consecutive naturals, for example, 13069 + ... + 13979.

It is an arithmetic number, because the mean of its divisors is an integer number (485184).

Almost surely, 212320364 is an apocalyptic number.

12320364 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 12320364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17466624).

12320364 is an abundant number, since it is smaller than the sum of its proper divisors (22612884).

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

12320364 is a wasteful number, since it uses less digits than its factorization.

12320364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 12320364 is about 3510.0376066361. The cubic root of 12320364 is about 230.9623446427.

Adding to 12320364 its reverse (46302321), we get a palindrome (58622685).

The spelling of 12320364 in words is "twelve million, three hundred twenty thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 49 69 84 92 98 138 147 161 196 276 294 322 483 588 644 911 966 1127 1822 1932 2254 2733 3381 3644 4508 5466 6377 6762 10932 12754 13524 19131 20953 25508 38262 41906 44639 62859 76524 83812 89278 125718 133917 146671 178556 251436 267834 293342 440013 535668 586684 880026 1026697 1760052 2053394 3080091 4106788 6160182 12320364