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12966940 = 2257234027
BaseRepresentation
bin110001011101…
…110000011100
3220101210022001
4301131300130
511304420230
61141532044
7215134330
oct61356034
926353261
1012966940
117357288
124414024
1328c015c
141a177c0
1512120ca
hexc5dc1c

12966940 has 48 divisors (see below), whose sum is σ = 32481792. Its totient is φ = 4251456.

The previous prime is 12966929. The next prime is 12966977. The reversal of 12966940 is 4966921.

12966940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12966940.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1207 + ... + 5233.

It is an arithmetic number, because the mean of its divisors is an integer number (676704).

Almost surely, 212966940 is an apocalyptic number.

12966940 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 12966940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16240896).

12966940 is an abundant number, since it is smaller than the sum of its proper divisors (19514852).

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

12966940 is a wasteful number, since it uses less digits than its factorization.

12966940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4064 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The square root of 12966940 is about 3600.9637598843. The cubic root of 12966940 is about 234.9339787375.

The spelling of 12966940 in words is "twelve million, nine hundred sixty-six thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 1610 3220 4027 8054 16108 20135 28189 40270 56378 80540 92621 112756 140945 185242 281890 370484 463105 563780 648347 926210 1296694 1852420 2593388 3241735 6483470 12966940