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65801064 = 2337412233
BaseRepresentation
bin1111101100000…
…0101101101000
311120211001002110
43323000231220
5113321113224
610310202320
71426204560
oct373005550
9146731073
1065801064
113416334a
121a0533a0
131082b554
148a4bda0
155b9b929
hex3ec0b68

65801064 has 96 divisors (see below), whose sum is σ = 193527360. Its totient is φ = 18263040.

The previous prime is 65801053. The next prime is 65801093. The reversal of 65801064 is 46010856.

65801064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 282292 + ... + 282524.

It is an arithmetic number, because the mean of its divisors is an integer number (2015910).

Almost surely, 265801064 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 65801064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96763680).

65801064 is an abundant number, since it is smaller than the sum of its proper divisors (127726296).

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

65801064 is a wasteful number, since it uses less digits than its factorization.

65801064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 331 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 65801064 is about 8111.7855001226. The cubic root of 65801064 is about 403.7175590174.

The spelling of 65801064 in words is "sixty-five million, eight hundred one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 41 42 56 82 84 123 164 168 233 246 287 328 466 492 574 699 861 932 984 1148 1398 1631 1681 1722 1864 2296 2796 3262 3362 3444 4893 5043 5592 6524 6724 6888 9553 9786 10086 11767 13048 13448 19106 19572 20172 23534 28659 35301 38212 39144 40344 47068 57318 66871 70602 76424 94136 114636 133742 141204 200613 229272 267484 282408 391673 401226 534968 783346 802452 1175019 1566692 1604904 2350038 2741711 3133384 4700076 5483422 8225133 9400152 10966844 16450266 21933688 32900532 65801064