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65164060 = 225131723641
BaseRepresentation
bin1111100010010…
…1001100011100
311112121200021201
43320211030130
5113140222220
610244405244
71420612453
oct370451434
9145550251
1065164060
11338687a5
12199a6824
1310667620
148923b9a
155ac2d0a
hex3e2531c

65164060 has 96 divisors (see below), whose sum is σ = 163078272. Its totient is φ = 21626880.

The previous prime is 65164039. The next prime is 65164061. The reversal of 65164060 is 6046156.

65164060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65164061) 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 31 ways as a sum of consecutive naturals, for example, 101340 + ... + 101980.

It is an arithmetic number, because the mean of its divisors is an integer number (1698732).

Almost surely, 265164060 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 65164060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81539136).

65164060 is an abundant number, since it is smaller than the sum of its proper divisors (97914212).

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

65164060 is a wasteful number, since it uses less digits than its factorization.

65164060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 703 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 65164060 is about 8072.4259055132. The cubic root of 65164060 is about 402.4105687140.

The spelling of 65164060 in words is "sixty-five million, one hundred sixty-four thousand, sixty".

Divisors: 1 2 4 5 10 13 17 20 23 26 34 46 52 65 68 85 92 115 130 170 221 230 260 299 340 391 442 460 598 641 782 884 1105 1196 1282 1495 1564 1955 2210 2564 2990 3205 3910 4420 5083 5980 6410 7820 8333 10166 10897 12820 14743 16666 20332 21794 25415 29486 33332 41665 43588 50830 54485 58972 73715 83330 101660 108970 141661 147430 166660 191659 217940 250631 283322 294860 383318 501262 566644 708305 766636 958295 1002524 1253155 1416610 1916590 2506310 2833220 3258203 3833180 5012620 6516406 13032812 16291015 32582030 65164060