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135248022 = 233713171619
BaseRepresentation
bin10000000111110…
…11100010010110
3100102111022102000
420003323202112
5234110414042
621230500130
73231406050
oct1003734226
9312438360
10135248022
116a386928
1239364646
1322035420
1413d688d0
15bd1874c
hex80fb896

135248022 has 128 divisors (see below), whose sum is σ = 391910400. Its totient is φ = 33550848.

The previous prime is 135248017. The next prime is 135248059. The reversal of 135248022 is 220842531.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 82729 + ... + 84347.

It is an arithmetic number, because the mean of its divisors is an integer number (3061800).

Almost surely, 2135248022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135248022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195955200).

135248022 is an abundant number, since it is smaller than the sum of its proper divisors (256662378).

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

135248022 is a wasteful number, since it uses less digits than its factorization.

135248022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1661 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135248022 is about 11629.6183084399. The cubic root of 135248022 is about 513.3067485904.

The spelling of 135248022 in words is "one hundred thirty-five million, two hundred forty-eight thousand, twenty-two".

Divisors: 1 2 3 6 7 9 13 14 17 18 21 26 27 34 39 42 51 54 63 78 91 102 117 119 126 153 182 189 221 234 238 273 306 351 357 378 442 459 546 663 702 714 819 918 1071 1326 1547 1619 1638 1989 2142 2457 3094 3213 3238 3978 4641 4857 4914 5967 6426 9282 9714 11333 11934 13923 14571 21047 22666 27523 27846 29142 33999 41769 42094 43713 55046 63141 67998 82569 83538 87426 101997 126282 147329 165138 189423 192661 203994 247707 294658 305991 357799 378846 385322 441987 495414 568269 577983 611982 715598 743121 883974 1073397 1136538 1155966 1325961 1486242 1733949 2146794 2504593 2651922 3220191 3467898 3977883 5009186 5201847 6440382 7513779 7955766 9660573 10403694 15027558 19321146 22541337 45082674 67624011 135248022