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65135241 = 3223213681
BaseRepresentation
bin1111100001111…
…0001010001001
311112120012202100
43320132022021
5113133311431
610244024013
71420432443
oct370361211
9145505670
1065135241
1133849086
1219992009
1310657482
148917493
155ab94e6
hex3e1e289

65135241 has 18 divisors (see below), whose sum is σ = 98359898. Its totient is φ = 41532480.

The previous prime is 65135221. The next prime is 65135293. The reversal of 65135241 is 14253156.

65135241 is a `hidden beast` number, since 651 + 3 + 5 + 2 + 4 + 1 = 666.

65135241 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 64064016 + 1071225 = 8004^2 + 1035^2 .

It is a de Polignac number, because none of the positive numbers 2k-65135241 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (65135221) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 2080 + ... + 11601.

Almost surely, 265135241 is an apocalyptic number.

It is an amenable number.

65135241 is a deficient number, since it is larger than the sum of its proper divisors (33224657).

65135241 is a wasteful number, since it uses less digits than its factorization.

65135241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13733 (or 13707 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 65135241 is about 8070.6406808877. The cubic root of 65135241 is about 402.3512375417.

Adding to 65135241 its reverse (14253156), we get a palindrome (79388397).

The spelling of 65135241 in words is "sixty-five million, one hundred thirty-five thousand, two hundred forty-one".

Divisors: 1 3 9 23 69 207 529 1587 4761 13681 41043 123129 314663 943989 2831967 7237249 21711747 65135241