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132585012 = 22347531103
BaseRepresentation
bin1111110011100…
…01011000110100
3100020111000110000
413321301120310
5232420210022
621053431300
73166645140
oct771613064
9306430400
10132585012
116892809a
123849b530
1321612291
1413874220
15b98e6ac
hex7e71634

132585012 has 120 divisors (see below), whose sum is σ = 403958016. Its totient is φ = 37132992.

The previous prime is 132585007. The next prime is 132585043. The reversal of 132585012 is 210585231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119653 + ... + 120755.

Almost surely, 2132585012 is an apocalyptic number.

132585012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132585012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201979008).

132585012 is an abundant number, since it is smaller than the sum of its proper divisors (271373004).

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

132585012 is a wasteful number, since it uses less digits than its factorization.

132585012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 132585012 is about 11514.5565264147. The cubic root of 132585012 is about 509.9154184992.

The spelling of 132585012 in words is "one hundred thirty-two million, five hundred eighty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 53 54 63 81 84 106 108 126 159 162 189 212 252 318 324 371 378 477 567 636 742 756 954 1103 1113 1134 1431 1484 1908 2206 2226 2268 2862 3309 3339 4293 4412 4452 5724 6618 6678 7721 8586 9927 10017 13236 13356 15442 17172 19854 20034 23163 29781 30051 30884 39708 40068 46326 58459 59562 60102 69489 89343 92652 116918 119124 120204 138978 175377 178686 208467 233836 277956 350754 357372 409213 416934 526131 625401 701508 818426 833868 1052262 1227639 1250802 1578393 1636852 2104524 2455278 2501604 3156786 3682917 4735179 4910556 6313572 7365834 9470358 11048751 14731668 18940716 22097502 33146253 44195004 66292506 132585012