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132446314 = 27211132727
BaseRepresentation
bin1111110010011…
…11100001101010
3100020012222012001
413321033201222
5232401240224
621050441214
73165526600
oct771174152
9306188161
10132446314
1168842970
123843320a
1321594100
1413839870
15b963544
hex7e4f86a

132446314 has 72 divisors (see below), whose sum is σ = 273375648. Its totient is φ = 47567520.

The previous prime is 132446267. The next prime is 132446323. The reversal of 132446314 is 413644231.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 181819 + ... + 182545.

It is an arithmetic number, because the mean of its divisors is an integer number (3796884).

Almost surely, 2132446314 is an apocalyptic number.

132446314 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

132446314 is an abundant number, since it is smaller than the sum of its proper divisors (140929334).

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

132446314 is a wasteful number, since it uses less digits than its factorization.

132446314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780 (or 760 counting only the distinct ones).

The product of its digits is 6912, while the sum is 28.

The square root of 132446314 is about 11508.5322261355. The cubic root of 132446314 is about 509.7375479046.

The spelling of 132446314 in words is "one hundred thirty-two million, four hundred forty-six thousand, three hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 49 77 91 98 143 154 169 182 286 338 539 637 727 1001 1078 1183 1274 1454 1859 2002 2366 3718 5089 7007 7997 8281 9451 10178 13013 14014 15994 16562 18902 26026 35623 55979 66157 71246 91091 103961 111958 122863 132314 182182 207922 245726 391853 463099 727727 783706 860041 926198 1351493 1455454 1720082 2702986 5094089 6020287 9460451 10188178 12040574 18920902 66223157 132446314