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65113026 = 231117131443
BaseRepresentation
bin1111100001100…
…0101111000010
311112112002021120
43320120233002
5113132104101
610243333110
71420310616
oct370305702
9145462246
1065113026
1133833420
1219981196
131064a324
14890d346
155ab2b36
hex3e18bc2

65113026 has 64 divisors (see below), whose sum is σ = 151911936. Its totient is φ = 18387200.

The previous prime is 65112997. The next prime is 65113063. The reversal of 65113026 is 62031156.

65113026 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 65112987 and 65113005.

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 31 ways as a sum of consecutive naturals, for example, 146761 + ... + 147203.

It is an arithmetic number, because the mean of its divisors is an integer number (2373624).

Almost surely, 265113026 is an apocalyptic number.

65113026 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 65113026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75955968).

65113026 is an abundant number, since it is smaller than the sum of its proper divisors (86798910).

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

65113026 is a wasteful number, since it uses less digits than its factorization.

65113026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 607.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 65113026 is about 8069.2642787307. The cubic root of 65113026 is about 402.3054904216.

It can be divided in two parts, 651130 and 26, that added together give a palindrome (651156).

The spelling of 65113026 in words is "sixty-five million, one hundred thirteen thousand, twenty-six".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 131 187 262 374 393 443 561 786 886 1122 1329 1441 2227 2658 2882 4323 4454 4873 6681 7531 8646 9746 13362 14619 15062 22593 24497 29238 45186 48994 58033 73491 82841 116066 146982 165682 174099 248523 348198 497046 638363 986561 1276726 1915089 1973122 2959683 3830178 5919366 10852171 21704342 32556513 65113026