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12605340 = 22351171269
BaseRepresentation
bin110000000101…
…011110011100
3212201102021110
4300011132130
511211332330
61130102020
7212100156
oct60053634
925642243
1012605340
11712a640
12427a910
1327c46a7
141961ad6
15118edb0
hexc0579c

12605340 has 96 divisors (see below), whose sum is σ = 39191040. Its totient is φ = 3001600.

The previous prime is 12605339. The next prime is 12605363. The reversal of 12605340 is 4350621.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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, 46726 + ... + 46994.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 212605340 is an apocalyptic number.

12605340 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 12605340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19595520).

12605340 is an abundant number, since it is smaller than the sum of its proper divisors (26585700).

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

12605340 is a wasteful number, since it uses less digits than its factorization.

12605340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 12605340 is about 3550.3999774673. The cubic root of 12605340 is about 232.7295455248.

Adding to 12605340 its reverse (4350621), we get a palindrome (16955961).

The spelling of 12605340 in words is "twelve million, six hundred five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 269 284 330 355 426 538 660 710 781 807 852 1065 1076 1345 1420 1562 1614 2130 2343 2690 2959 3124 3228 3905 4035 4260 4686 5380 5918 7810 8070 8877 9372 11715 11836 14795 15620 16140 17754 19099 23430 29590 35508 38198 44385 46860 57297 59180 76396 88770 95495 114594 177540 190990 210089 229188 286485 381980 420178 572970 630267 840356 1050445 1145940 1260534 2100890 2521068 3151335 4201780 6302670 12605340