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12443320 = 2351729631
BaseRepresentation
bin101111011101…
…111010111000
3212102012000201
4233131322320
511141141240
61122411544
7210523621
oct57357270
925365021
1012443320
11702993a
124200bb4
132768a16
14191ca48
15115bd9a
hexbddeb8

12443320 has 64 divisors (see below), whose sum is σ = 30715200. Its totient is φ = 4515840.

The previous prime is 12443317. The next prime is 12443323. The reversal of 12443320 is 2334421.

It is an interprime number because it is at equal distance from previous prime (12443317) and next prime (12443323).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12443323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19405 + ... + 20035.

It is an arithmetic number, because the mean of its divisors is an integer number (479925).

Almost surely, 212443320 is an apocalyptic number.

12443320 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 12443320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15357600).

12443320 is an abundant number, since it is smaller than the sum of its proper divisors (18271880).

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

12443320 is a wasteful number, since it uses less digits than its factorization.

12443320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 684 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 19.

The square root of 12443320 is about 3527.5090361330. The cubic root of 12443320 is about 231.7281298081.

Adding to 12443320 its reverse (2334421), we get a palindrome (14777741).

The spelling of 12443320 in words is "twelve million, four hundred forty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 29 34 40 58 68 85 116 136 145 170 232 290 340 493 580 631 680 986 1160 1262 1972 2465 2524 3155 3944 4930 5048 6310 9860 10727 12620 18299 19720 21454 25240 36598 42908 53635 73196 85816 91495 107270 146392 182990 214540 311083 365980 429080 622166 731960 1244332 1555415 2488664 3110830 6221660 12443320