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12928180 = 2253731733
BaseRepresentation
bin110001010100…
…010010110100
3220022211010111
4301110102310
511302200210
61141032404
7214613326
oct61242264
926284114
1012928180
117330151
1243b5704
1328a8615
141a07616
15120588a
hexc544b4

12928180 has 24 divisors (see below), whose sum is σ = 27237672. Its totient is φ = 5154432.

The previous prime is 12928141. The next prime is 12928183. The reversal of 12928180 is 8182921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1245456 + 11682724 = 1116^2 + 3418^2 .

It is a super-2 number, since 2×129281802 = 334275676224800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12928183) 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, 6594 + ... + 8326.

It is an arithmetic number, because the mean of its divisors is an integer number (1134903).

Almost surely, 212928180 is an apocalyptic number.

12928180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12928180 is an abundant number, since it is smaller than the sum of its proper divisors (14309492).

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

12928180 is a wasteful number, since it uses less digits than its factorization.

12928180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2115 (or 2113 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 31.

The square root of 12928180 is about 3595.5778395134. The cubic root of 12928180 is about 234.6996615896.

The spelling of 12928180 in words is "twelve million, nine hundred twenty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 373 746 1492 1733 1865 3466 3730 6932 7460 8665 17330 34660 646409 1292818 2585636 3232045 6464090 12928180