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12661500 = 2235323367
BaseRepresentation
bin110000010011…
…001011111100
3212211021022110
4300103023330
511220132000
61131214020
7212422665
oct60231374
925737273
1012661500
117168855
1242a7310
132814117
14197836c
1511a1850
hexc132fc

12661500 has 96 divisors (see below), whose sum is σ = 38578176. Its totient is φ = 3220800.

The previous prime is 12661499. The next prime is 12661589. The reversal of 12661500 is 516621.

It is a happy number.

12661500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34317 + ... + 34683.

It is an arithmetic number, because the mean of its divisors is an integer number (401856).

Almost surely, 212661500 is an apocalyptic number.

12661500 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 12661500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289088).

12661500 is an abundant number, since it is smaller than the sum of its proper divisors (25916676).

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

12661500 is a wasteful number, since it uses less digits than its factorization.

12661500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 12661500 is about 3558.3001559734. The cubic root of 12661500 is about 233.0746566439.

The spelling of 12661500 in words is "twelve million, six hundred sixty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 125 138 150 230 250 276 300 345 367 375 460 500 575 690 734 750 1101 1150 1380 1468 1500 1725 1835 2202 2300 2875 3450 3670 4404 5505 5750 6900 7340 8441 8625 9175 11010 11500 16882 17250 18350 22020 25323 27525 33764 34500 36700 42205 45875 50646 55050 84410 91750 101292 110100 126615 137625 168820 183500 211025 253230 275250 422050 506460 550500 633075 844100 1055125 1266150 2110250 2532300 3165375 4220500 6330750 12661500