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65135532 = 223711157449
BaseRepresentation
bin1111100001111…
…0001110101100
311112120020011010
43320132032230
5113133314112
610244025220
71420433340
oct370361654
9145506133
1065135532
1133849320
1219992210
1310657647
148917620
155ab963c
hex3e1e3ac

65135532 has 96 divisors (see below), whose sum is σ = 191116800. Its totient is φ = 16773120.

The previous prime is 65135507. The next prime is 65135533. The reversal of 65135532 is 23553156.

It is a self number, because there is not a number n which added to its sum of digits gives 65135532.

It is not an unprimeable number, because it can be changed into a prime (65135533) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144844 + ... + 145292.

It is an arithmetic number, because the mean of its divisors is an integer number (1990800).

Almost surely, 265135532 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 65135532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95558400).

65135532 is an abundant number, since it is smaller than the sum of its proper divisors (125981268).

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

65135532 is a wasteful number, since it uses less digits than its factorization.

65135532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 629 counting only the distinct ones).

The product of its digits is 13500, while the sum is 30.

The square root of 65135532 is about 8070.6587091761. The cubic root of 65135532 is about 402.3518367260.

Adding to 65135532 its reverse (23553156), we get a palindrome (88688688).

The spelling of 65135532 in words is "sixty-five million, one hundred thirty-five thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 157 231 308 314 449 462 471 628 898 924 942 1099 1347 1727 1796 1884 2198 2694 3143 3297 3454 4396 4939 5181 5388 6286 6594 6908 9429 9878 10362 12089 12572 13188 14817 18858 19756 20724 24178 29634 34573 36267 37716 48356 59268 69146 70493 72534 103719 138292 140986 145068 207438 211479 281972 414876 422958 493451 775423 845916 986902 1480353 1550846 1973804 2326269 2960706 3101692 4652538 5427961 5921412 9305076 10855922 16283883 21711844 32567766 65135532