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12764340 = 2232570913
BaseRepresentation
bin110000101100…
…010010110100
3220000111101100
4300230102310
511231424330
61133330100
7213331551
oct60542264
926014340
1012764340
117229046
124336930
13284bb84
1419a3a28
1511c2060
hexc2c4b4

12764340 has 36 divisors (see below), whose sum is σ = 38719044. Its totient is φ = 3403776.

The previous prime is 12764317. The next prime is 12764347. The reversal of 12764340 is 4346721.

12764340 is a `hidden beast` number, since 12 + 7 + 643 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5731236 + 7033104 = 2394^2 + 2652^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12764347) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35277 + ... + 35636.

It is an arithmetic number, because the mean of its divisors is an integer number (1075529).

Almost surely, 212764340 is an apocalyptic number.

12764340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12764340 is an abundant number, since it is smaller than the sum of its proper divisors (25954704).

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

12764340 is a wasteful number, since it uses less digits than its factorization.

12764340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70928 (or 70923 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 12764340 is about 3572.7216516264. The cubic root of 12764340 is about 233.7039868632.

The spelling of 12764340 in words is "twelve million, seven hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 70913 141826 212739 283652 354565 425478 638217 709130 850956 1063695 1276434 1418260 2127390 2552868 3191085 4254780 6382170 12764340