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12969810 = 23257217173
BaseRepresentation
bin110001011110…
…011101010010
3220101221020100
4301132131102
511310013220
61141553230
7215145600
oct61363522
926357210
1012969810
117359457
124415816
1328c1559
141a18870
151212d90
hexc5e752

12969810 has 144 divisors (see below), whose sum is σ = 41774616. Its totient is φ = 2774016.

The previous prime is 12969797. The next prime is 12969821. The reversal of 12969810 is 1896921.

It can be written as a sum of positive squares in 4 ways, for example, as 12895281 + 74529 = 3591^2 + 273^2 .

It is a super-2 number, since 2×129698102 = 336431942872200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 74884 + ... + 75056.

Almost surely, 212969810 is an apocalyptic number.

12969810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12969810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20887308).

12969810 is an abundant number, since it is smaller than the sum of its proper divisors (28804806).

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

12969810 is a wasteful number, since it uses less digits than its factorization.

12969810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12969810 is about 3601.3622422633. The cubic root of 12969810 is about 234.9513102688.

The spelling of 12969810 in words is "twelve million, nine hundred sixty-nine thousand, eight hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 49 51 63 70 85 90 98 102 105 119 126 147 153 170 173 210 238 245 255 294 306 315 346 357 441 490 510 519 595 630 714 735 765 833 865 882 1038 1071 1190 1211 1470 1530 1557 1666 1730 1785 2142 2205 2422 2499 2595 2941 3114 3570 3633 4165 4410 4998 5190 5355 5882 6055 7266 7497 7785 8330 8477 8823 10710 10899 12110 12495 14705 14994 15570 16954 17646 18165 20587 21798 24990 25431 26469 29410 36330 37485 41174 42385 44115 50862 52938 54495 61761 74970 76293 84770 88230 102935 108990 123522 127155 132345 144109 152586 185283 205870 254310 264690 288218 308805 370566 381465 432327 617610 720545 762930 864654 926415 1296981 1441090 1852830 2161635 2593962 4323270 6484905 12969810