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132905682 = 232713411979
BaseRepresentation
bin1111110101111…
…11101011010010
3100021002022022200
413322333223102
5233010440212
621104344030
73202452060
oct772775322
9307068280
10132905682
1169027008
1238615016
13216c5220
1413919030
15ba046dc
hex7ebfad2

132905682 has 96 divisors (see below), whose sum is σ = 363242880. Its totient is φ = 34179840.

The previous prime is 132905651. The next prime is 132905683. The reversal of 132905682 is 286509231.

132905682 is a `hidden beast` number, since 1 + 3 + 2 + 90 + 568 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (132905683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66169 + ... + 68147.

It is an arithmetic number, because the mean of its divisors is an integer number (3783780).

Almost surely, 2132905682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132905682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181621440).

132905682 is an abundant number, since it is smaller than the sum of its proper divisors (230337198).

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

132905682 is a wasteful number, since it uses less digits than its factorization.

132905682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2048 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 132905682 is about 11528.4726655355. The cubic root of 132905682 is about 510.3261811896.

The spelling of 132905682 in words is "one hundred thirty-two million, nine hundred five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 41 42 63 78 82 91 117 123 126 182 234 246 273 287 369 533 546 574 738 819 861 1066 1599 1638 1722 1979 2583 3198 3731 3958 4797 5166 5937 7462 9594 11193 11874 13853 17811 22386 25727 27706 33579 35622 41559 51454 67158 77181 81139 83118 124677 154362 162278 180089 231543 243417 249354 360178 463086 486834 540267 567973 730251 1054807 1080534 1135946 1460502 1620801 1703919 2109614 3164421 3241602 3407838 5111757 6328842 7383649 9493263 10223514 14767298 18986526 22150947 44301894 66452841 132905682