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12132928 = 261011877
BaseRepresentation
bin101110010010…
…001001000000
3211211102020201
4232102021000
511101223203
61112014544
7205061653
oct56221100
924742221
1012132928
116937715
124091454
13268a662
14187b89a
1510e9e1d
hexb92240

12132928 has 28 divisors (see below), whose sum is σ = 24327612. Its totient is φ = 6003200.

The previous prime is 12132907. The next prime is 12132931. The reversal of 12132928 is 82923121.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 2096704 = 3168^2 + 1448^2 .

It is a junction number, because it is equal to n+sod(n) for n = 12132896 and 12132905.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5526 + ... + 7402.

Almost surely, 212132928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12163806).

12132928 is an abundant number, since it is smaller than the sum of its proper divisors (12194684).

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

12132928 is a wasteful number, since it uses less digits than its factorization.

12132928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1980 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 12132928 is about 3483.2352777267. The cubic root of 12132928 is about 229.7851048884.

The spelling of 12132928 in words is "twelve million, one hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 32 64 101 202 404 808 1616 1877 3232 3754 6464 7508 15016 30032 60064 120128 189577 379154 758308 1516616 3033232 6066464 12132928