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12397320 = 2333513883
BaseRepresentation
bin101111010010…
…101100001000
3212022211221000
4233102230020
511133203240
61121415000
7210242535
oct57225410
925284830
1012397320
116aa8321
12419a460
132750ac0
141909d8c
15114d430
hexbd2b08

12397320 has 128 divisors (see below), whose sum is σ = 44553600. Its totient is φ = 3048192.

The previous prime is 12397313. The next prime is 12397321. The reversal of 12397320 is 2379321.

12397320 = T236 + T237 + ... + T443.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (12397321) 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 31 ways as a sum of consecutive naturals, for example, 13599 + ... + 14481.

It is an arithmetic number, because the mean of its divisors is an integer number (348075).

Almost surely, 212397320 is an apocalyptic number.

12397320 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 12397320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22276800).

12397320 is an abundant number, since it is smaller than the sum of its proper divisors (32156280).

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

12397320 is a wasteful number, since it uses less digits than its factorization.

12397320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 12397320 is about 3520.9828173395. The cubic root of 12397320 is about 231.4422292547.

The spelling of 12397320 in words is "twelve million, three hundred ninety-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 883 936 1080 1170 1404 1560 1755 1766 2340 2649 2808 3510 3532 4415 4680 5298 7020 7064 7947 8830 10596 11479 13245 14040 15894 17660 21192 22958 23841 26490 31788 34437 35320 39735 45916 47682 52980 57395 63576 68874 79470 91832 95364 103311 105960 114790 119205 137748 158940 172185 190728 206622 229580 238410 275496 309933 317880 344370 413244 459160 476820 516555 619866 688740 826488 953640 1033110 1239732 1377480 1549665 2066220 2479464 3099330 4132440 6198660 12397320