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65368720 = 245899181
BaseRepresentation
bin1111100101011…
…1001010010000
311120000002000201
43321113022100
5113213244340
610253024544
71422424234
oct371271220
9146002021
1065368720
113399853a
1219a85154
1310709821
1489785c4
155b1379a
hex3e57290

65368720 has 40 divisors (see below), whose sum is σ = 153706680. Its totient is φ = 25850880.

The previous prime is 65368703. The next prime is 65368753. The reversal of 65368720 is 2786356.

65368720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3400336 + 61968384 = 1844^2 + 7872^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 65368720.

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 7 ways as a sum of consecutive naturals, for example, 2530 + ... + 11710.

It is an arithmetic number, because the mean of its divisors is an integer number (3842667).

Almost surely, 265368720 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 65368720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76853340).

65368720 is an abundant number, since it is smaller than the sum of its proper divisors (88337960).

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

65368720 is a wasteful number, since it uses less digits than its factorization.

65368720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9283 (or 9277 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 65368720 is about 8085.0924546353. The cubic root of 65368720 is about 402.8314104967.

The spelling of 65368720 in words is "sixty-five million, three hundred sixty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1780 3560 7120 9181 18362 36724 45905 73448 91810 146896 183620 367240 734480 817109 1634218 3268436 4085545 6536872 8171090 13073744 16342180 32684360 65368720