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132282276 = 22374353691
BaseRepresentation
bin1111110001001…
…11011110100100
3100012220122011120
413320213132210
5232331013101
621043133540
73164244420
oct770473644
9305818146
10132282276
11687406a5
12383742b0
1321537549
14137d5b80
15b92eb36
hex7e277a4

132282276 has 96 divisors (see below), whose sum is σ = 368299008. Its totient is φ = 36167040.

The previous prime is 132282259. The next prime is 132282317. The reversal of 132282276 is 672282231.

132282276 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191091 + ... + 191781.

It is an arithmetic number, because the mean of its divisors is an integer number (3836448).

Almost surely, 2132282276 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 132282276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184149504).

132282276 is an abundant number, since it is smaller than the sum of its proper divisors (236016732).

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

132282276 is a wasteful number, since it uses less digits than its factorization.

132282276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801 (or 799 counting only the distinct ones).

The product of its digits is 16128, while the sum is 33.

The square root of 132282276 is about 11501.4032187381. The cubic root of 132282276 is about 509.5270201584.

The spelling of 132282276 in words is "one hundred thirty-two million, two hundred eighty-two thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 43 53 84 86 106 129 159 172 212 258 301 318 371 516 602 636 691 742 903 1113 1204 1382 1484 1806 2073 2226 2279 2764 3612 4146 4452 4558 4837 6837 8292 9116 9674 13674 14511 15953 19348 27348 29022 29713 31906 36623 47859 58044 59426 63812 73246 89139 95718 109869 118852 146492 178278 191436 207991 219738 256361 356556 415982 439476 512722 623973 769083 831964 1025444 1247946 1538166 1574789 2495892 3076332 3149578 4724367 6299156 9448734 11023523 18897468 22047046 33070569 44094092 66141138 132282276