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12610780 = 225713341
BaseRepresentation
bin110000000110…
…110011011100
3212201200201221
4300012303130
511212021110
61130143124
7212122060
oct60066334
925650657
1012610780
117133736
124281aa4
1327c7000
141963aa0
1511917da
hexc06cdc

12610780 has 96 divisors (see below), whose sum is σ = 33586560. Its totient is φ = 3893760.

The previous prime is 12610777. The next prime is 12610781. The reversal of 12610780 is 8701621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12610781) 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, 307560 + ... + 307600.

It is an arithmetic number, because the mean of its divisors is an integer number (349860).

Almost surely, 212610780 is an apocalyptic number.

12610780 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 12610780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16793280).

12610780 is an abundant number, since it is smaller than the sum of its proper divisors (20975780).

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

12610780 is a wasteful number, since it uses less digits than its factorization.

12610780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 25.

The square root of 12610780 is about 3551.1660056945. The cubic root of 12610780 is about 232.7630198737.

The spelling of 12610780 in words is "twelve million, six hundred ten thousand, seven hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 41 52 65 70 82 91 130 140 164 169 182 205 260 287 338 364 410 455 533 574 676 820 845 910 1066 1148 1183 1435 1690 1820 2132 2197 2366 2665 2870 3380 3731 4394 4732 5330 5740 5915 6929 7462 8788 10660 10985 11830 13858 14924 15379 18655 21970 23660 27716 30758 34645 37310 43940 48503 61516 69290 74620 76895 90077 97006 138580 153790 180154 194012 242515 307580 360308 450385 485030 630539 900770 970060 1261078 1801540 2522156 3152695 6305390 12610780