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12105660 = 22357193741
BaseRepresentation
bin101110001011…
…011110111100
3211210000211210
4232023132330
511044340120
61111244420
7204616320
oct56133674
924700753
1012105660
116919186
124079710
13267b118
141871980
1510e1ce0
hexb8b7bc

12105660 has 192 divisors, whose sum is σ = 42900480. Its totient is φ = 2488320.

The previous prime is 12105647. The next prime is 12105733. The reversal of 12105660 is 6650121.

It is a happy number.

12105660 is a nontrivial binomial coefficient, being equal to C(4921, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295240 + ... + 295280.

It is an arithmetic number, because the mean of its divisors is an integer number (223440).

Almost surely, 212105660 is an apocalyptic number.

12105660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12105660 is the 4920-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12105660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21450240).

12105660 is an abundant number, since it is smaller than the sum of its proper divisors (30794820).

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

12105660 is a wasteful number, since it uses less digits than its factorization.

12105660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

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

The square root of 12105660 is about 3479.3188988651. The cubic root of 12105660 is about 229.6128331967.

Adding to 12105660 its reverse (6650121), we get a palindrome (18755781).

The spelling of 12105660 in words is "twelve million, one hundred five thousand, six hundred sixty".