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12938320 = 245161729
BaseRepresentation
bin110001010110…
…110001010000
3220100100001001
4301112301100
511303011240
61141151344
7214655023
oct61266120
926310031
1012938320
11733782a
1243bb554
1328b0115
141a0b1ba
15120889a
hexc56c50

12938320 has 20 divisors (see below), whose sum is σ = 30081780. Its totient is φ = 5175296.

The previous prime is 12938293. The next prime is 12938323. The reversal of 12938320 is 2383921.

It can be written as a sum of positive squares in 2 ways, for example, as 6031936 + 6906384 = 2456^2 + 2628^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12938323) 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, 80785 + ... + 80944.

It is an arithmetic number, because the mean of its divisors is an integer number (1504089).

Almost surely, 212938320 is an apocalyptic number.

12938320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12938320 is an abundant number, since it is smaller than the sum of its proper divisors (17143460).

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

12938320 is a wasteful number, since it uses less digits than its factorization.

12938320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161742 (or 161736 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 12938320 is about 3596.9876285581. The cubic root of 12938320 is about 234.7610064616.

The spelling of 12938320 in words is "twelve million, nine hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 161729 323458 646916 808645 1293832 1617290 2587664 3234580 6469160 12938320