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65717064 = 233271011291
BaseRepresentation
bin1111101010110…
…0001101001000
311120122202212100
43322230031020
5113310421224
610304313400
71425404640
oct372541510
9146582770
1065717064
1134106226
121a012860
13107cc24a
148a29520
155b81ac9
hex3eac348

65717064 has 96 divisors (see below), whose sum is σ = 205583040. Its totient is φ = 18576000.

The previous prime is 65717063. The next prime is 65717077. The reversal of 65717064 is 46071756.

65717064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (65717063) 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 23 ways as a sum of consecutive naturals, for example, 50259 + ... + 51549.

It is an arithmetic number, because the mean of its divisors is an integer number (2141490).

Almost surely, 265717064 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 65717064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791520).

65717064 is an abundant number, since it is smaller than the sum of its proper divisors (139865976).

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

65717064 is a wasteful number, since it uses less digits than its factorization.

65717064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1404 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 65717064 is about 8106.6061949499. The cubic root of 65717064 is about 403.5456939357.

The spelling of 65717064 in words is "sixty-five million, seven hundred seventeen thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 101 126 168 202 252 303 404 504 606 707 808 909 1212 1291 1414 1818 2121 2424 2582 2828 3636 3873 4242 5164 5656 6363 7272 7746 8484 9037 10328 11619 12726 15492 16968 18074 23238 25452 27111 30984 36148 46476 50904 54222 72296 81333 92952 108444 130391 162666 216888 260782 325332 391173 521564 650664 782346 912737 1043128 1173519 1564692 1825474 2347038 2738211 3129384 3650948 4694076 5476422 7301896 8214633 9388152 10952844 16429266 21905688 32858532 65717064