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12937940 = 225646897
BaseRepresentation
bin110001010110…
…101011010100
3220100022111222
4301112223110
511303003230
61141145512
7214653641
oct61265324
926308458
1012937940
117337514
1243bb298
1328acbb2
141a0adc8
1512086e5
hexc56ad4

12937940 has 12 divisors (see below), whose sum is σ = 27169716. Its totient is φ = 5175168.

The previous prime is 12937931. The next prime is 12937949. The reversal of 12937940 is 4973921.

12937940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12937931) and next prime (12937949).

It can be written as a sum of positive squares in 2 ways, for example, as 4376464 + 8561476 = 2092^2 + 2926^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12937940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937949) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 323429 + ... + 323468.

It is an arithmetic number, because the mean of its divisors is an integer number (2264143).

Almost surely, 212937940 is an apocalyptic number.

12937940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12937940 is an abundant number, since it is smaller than the sum of its proper divisors (14231776).

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

12937940 is a wasteful number, since it uses less digits than its factorization.

12937940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646906 (or 646904 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 35.

The square root of 12937940 is about 3596.9348061926. The cubic root of 12937940 is about 234.7587081195.

The spelling of 12937940 in words is "twelve million, nine hundred thirty-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 646897 1293794 2587588 3234485 6468970 12937940