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12945936 = 2431731559
BaseRepresentation
bin110001011000…
…101000010000
3220100201111010
4301120220100
511303232221
61141250520
7215016153
oct61305020
926321433
1012945936
117342523
124403a40
1328b3723
141a0dc9a
15120ac76
hexc58a10

12945936 has 40 divisors (see below), whose sum is σ = 33658560. Its totient is φ = 4287616.

The previous prime is 12945931. The next prime is 12945937. The reversal of 12945936 is 63954921.

It is a junction number, because it is equal to n+sod(n) for n = 12945894 and 12945903.

It is not an unprimeable number, because it can be changed into a prime (12945931) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7525 + ... + 9083.

It is an arithmetic number, because the mean of its divisors is an integer number (841464).

Almost surely, 212945936 is an apocalyptic number.

12945936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12945936 is an abundant number, since it is smaller than the sum of its proper divisors (20712624).

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

12945936 is a wasteful number, since it uses less digits than its factorization.

12945936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1737 counting only the distinct ones).

The product of its digits is 58320, while the sum is 39.

The square root of 12945936 is about 3598.0461364468. The cubic root of 12945936 is about 234.8070605892.

The spelling of 12945936 in words is "twelve million, nine hundred forty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 173 346 519 692 1038 1384 1559 2076 2768 3118 4152 4677 6236 8304 9354 12472 18708 24944 37416 74832 269707 539414 809121 1078828 1618242 2157656 3236484 4315312 6472968 12945936