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12968910 = 2375593
BaseRepresentation
bin110001011110…
…001111001110
3220101220000000
4301132033032
511310001120
61141545130
7215143143
oct61361716
926356000
1012968910
117358809
1244151a6
1328c1016
141a183ca
151212990
hexc5e3ce

12968910 has 64 divisors (see below), whose sum is σ = 35069760. Its totient is φ = 3452544.

The previous prime is 12968903. The next prime is 12968927. The reversal of 12968910 is 1986921.

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, 21574 + ... + 22166.

It is an arithmetic number, because the mean of its divisors is an integer number (547965).

Almost surely, 212968910 is an apocalyptic number.

12968910 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 12968910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17534880).

12968910 is an abundant number, since it is smaller than the sum of its proper divisors (22100850).

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

12968910 is an frugal number, since it uses more digits than its factorization.

12968910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 12968910 is about 3601.2372873778. The cubic root of 12968910 is about 234.9458755690.

The spelling of 12968910 in words is "twelve million, nine hundred sixty-eight thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 593 729 810 1186 1215 1458 1779 2187 2430 2965 3558 3645 4374 5337 5930 7290 8895 10674 10935 16011 17790 21870 26685 32022 48033 53370 80055 96066 144099 160110 240165 288198 432297 480330 720495 864594 1296891 1440990 2161485 2593782 4322970 6484455 12968910