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12371320 = 2351337643
BaseRepresentation
bin101111001100…
…010101111000
3212021112021001
4233030111320
511131340240
61121054344
7210103663
oct57142570
925245231
1012371320
116a8a835
1241873b4
132742010
1419006da
15114589a
hexbcc578

12371320 has 64 divisors (see below), whose sum is σ = 30834720. Its totient is φ = 4437504.

The previous prime is 12371311. The next prime is 12371323. The reversal of 12371320 is 2317321.

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 (12371323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18919 + ... + 19561.

Almost surely, 212371320 is an apocalyptic number.

12371320 is a gapful number since it is divisible by the number (10) 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 12371320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15417360).

12371320 is an abundant number, since it is smaller than the sum of its proper divisors (18463400).

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

12371320 is a wasteful number, since it uses less digits than its factorization.

12371320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 19.

The square root of 12371320 is about 3517.2887285522. The cubic root of 12371320 is about 231.2803203487.

Adding to 12371320 its reverse (2317321), we get a palindrome (14688641).

The spelling of 12371320 in words is "twelve million, three hundred seventy-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 104 130 148 185 260 296 370 481 520 643 740 962 1286 1480 1924 2405 2572 3215 3848 4810 5144 6430 8359 9620 12860 16718 19240 23791 25720 33436 41795 47582 66872 83590 95164 118955 167180 190328 237910 309283 334360 475820 618566 951640 1237132 1546415 2474264 3092830 6185660 12371320