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132314412 = 22311397577
BaseRepresentation
bin1111110001011…
…11010100101100
3100012222021020210
413320233110230
5232333030122
621043542420
73164440206
oct770572454
9305867223
10132314412
116876285a
123838aa10
1321549069
1413803776
15b93940c
hex7e2f52c

132314412 has 24 divisors (see below), whose sum is σ = 311468976. Its totient is φ = 43714048.

The previous prime is 132314401. The next prime is 132314489. The reversal of 132314412 is 214413231.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47433 + ... + 50144.

It is an arithmetic number, because the mean of its divisors is an integer number (12977874).

Almost surely, 2132314412 is an apocalyptic number.

132314412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132314412 is an abundant number, since it is smaller than the sum of its proper divisors (179154564).

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

132314412 is a wasteful number, since it uses less digits than its factorization.

132314412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97697 (or 97695 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 132314412 is about 11502.8001808255. The cubic root of 132314412 is about 509.5682774733.

Adding to 132314412 its reverse (214413231), we get a palindrome (346727643).

The spelling of 132314412 in words is "one hundred thirty-two million, three hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 12 113 226 339 452 678 1356 97577 195154 292731 390308 585462 1170924 11026201 22052402 33078603 44104804 66157206 132314412