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12972340 = 225648617
BaseRepresentation
bin110001011111…
…000100110100
3220102001201001
4301133010310
511310103330
61142013044
7215156143
oct61370464
926361631
1012972340
117360347
124417184
1328c2754
141a1975a
1512139ca
hexc5f134

12972340 has 12 divisors (see below), whose sum is σ = 27241956. Its totient is φ = 5188928.

The previous prime is 12972331. The next prime is 12972341. The reversal of 12972340 is 4327921.

12972340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5779216 + 7193124 = 2404^2 + 2682^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12972299 and 12972308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12972341) 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, 324289 + ... + 324328.

It is an arithmetic number, because the mean of its divisors is an integer number (2270163).

Almost surely, 212972340 is an apocalyptic number.

12972340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12972340 is an abundant number, since it is smaller than the sum of its proper divisors (14269616).

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

12972340 is a wasteful number, since it uses less digits than its factorization.

12972340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648626 (or 648624 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 12972340 is about 3601.7134811087. The cubic root of 12972340 is about 234.9665864671.

The spelling of 12972340 in words is "twelve million, nine hundred seventy-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 648617 1297234 2594468 3243085 6486170 12972340