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66160072 = 23117110589
BaseRepresentation
bin1111110001100…
…0010111001000
311121111021120001
43330120113020
5113414110242
610322012344
71432231336
oct374302710
9147437501
1066160072
1134389050
121a1a70b4
1310925a94
148b02b56
155c1ceb7
hex3f185c8

66160072 has 32 divisors (see below), whose sum is σ = 137246400. Its totient is φ = 29646400.

The previous prime is 66160069. The next prime is 66160079. The reversal of 66160072 is 27006166.

66160072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 66160072.

It is not an unprimeable number, because it can be changed into a prime (66160079) 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 7 ways as a sum of consecutive naturals, for example, 954 + ... + 11542.

It is an arithmetic number, because the mean of its divisors is an integer number (4288950).

Almost surely, 266160072 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 66160072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68623200).

66160072 is an abundant number, since it is smaller than the sum of its proper divisors (71086328).

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

66160072 is a wasteful number, since it uses less digits than its factorization.

66160072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10677 (or 10673 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 66160072 is about 8133.8841889961. The cubic root of 66160072 is about 404.4504500935.

The spelling of 66160072 in words is "sixty-six million, one hundred sixty thousand, seventy-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 10589 21178 42356 84712 116479 232958 465916 751819 931832 1503638 3007276 6014552 8270009 16540018 33080036 66160072