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12712050 = 23252134153
BaseRepresentation
bin110000011111…
…100001110010
3212220211122200
4300133201302
511223241200
61132244030
7213023241
oct60374162
925824580
1012712050
1171a282a
124310616
132831130
14198c958
1511b1800
hexc1f872

12712050 has 144 divisors (see below), whose sum is σ = 38388168. Its totient is φ = 2995200.

The previous prime is 12712033. The next prime is 12712057. The reversal of 12712050 is 5021721.

12712050 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 159201 + 12552849 = 399^2 + 3543^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12712057) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 239824 + ... + 239876.

Almost surely, 212712050 is an apocalyptic number.

12712050 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 12712050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19194084).

12712050 is an abundant number, since it is smaller than the sum of its proper divisors (25676118).

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

12712050 is a wasteful number, since it uses less digits than its factorization.

12712050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 12712050 is about 3565.3961911687. The cubic root of 12712050 is about 233.3844219199.

Adding to 12712050 its reverse (5021721), we get a palindrome (17733771).

It can be divided in two parts, 1271 and 2050, that added together give a triangular number (3321 = T81).

The spelling of 12712050 in words is "twelve million, seven hundred twelve thousand, fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 41 45 50 53 65 75 78 82 90 106 117 123 130 150 159 195 205 225 234 246 265 318 325 369 390 410 450 477 530 533 585 615 650 689 738 795 954 975 1025 1066 1170 1230 1325 1378 1590 1599 1845 1950 2050 2067 2173 2385 2650 2665 2925 3075 3198 3445 3690 3975 4134 4346 4770 4797 5330 5850 6150 6201 6519 6890 7950 7995 9225 9594 10335 10865 11925 12402 13038 13325 15990 17225 18450 19557 20670 21730 23850 23985 26650 28249 31005 32595 34450 39114 39975 47970 51675 54325 56498 62010 65190 79950 84747 97785 103350 108650 119925 141245 155025 162975 169494 195570 239850 254241 282490 310050 325950 423735 488925 508482 706225 847470 977850 1271205 1412450 2118675 2542410 4237350 6356025 12712050