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65108864 = 272232281
BaseRepresentation
bin1111100001011…
…1101110000000
311112111212120102
43320113232000
5113131440424
610243301532
71420262522
oct370275600
9145455512
1065108864
1133830287
121997a8a8
1310648472
14890ba12
155ab17ae
hex3e17b80

65108864 has 32 divisors (see below), whose sum is σ = 130347840. Its totient is φ = 32394240.

The previous prime is 65108833. The next prime is 65108887. The reversal of 65108864 is 46880156.

65108864 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (32).

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 3 ways as a sum of consecutive naturals, for example, 27404 + ... + 29684.

It is an arithmetic number, because the mean of its divisors is an integer number (4073370).

Almost surely, 265108864 is an apocalyptic number.

65108864 is a gapful number since it is divisible by the number (64) 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 65108864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65173920).

65108864 is an abundant number, since it is smaller than the sum of its proper divisors (65238976).

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

65108864 is a wasteful number, since it uses less digits than its factorization.

65108864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 38.

The square root of 65108864 is about 8069.0063824488. The cubic root of 65108864 is about 402.2969185007.

The spelling of 65108864 in words is "sixty-five million, one hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 223 446 892 1784 2281 3568 4562 7136 9124 14272 18248 28544 36496 72992 145984 291968 508663 1017326 2034652 4069304 8138608 16277216 32554432 65108864