Search a number
-
+
66575034 = 234616737
BaseRepresentation
bin1111110111110…
…1101010111010
311122021100210000
43331331222322
5114020400114
610334533430
71435610211
oct375755272
9148240700
1066575034
1134641899
121a367276
1310a3c916
148bb0078
155ca0e09
hex3f7daba

66575034 has 40 divisors (see below), whose sum is σ = 151645428. Its totient is φ = 21824640.

The previous prime is 66575027. The next prime is 66575057. The reversal of 66575034 is 43057566.

It can be written as a sum of positive squares in 2 ways, for example, as 60886809 + 5688225 = 7803^2 + 2385^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 66575034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6514 + ... + 13250.

Almost surely, 266575034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66575034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75822714).

66575034 is an abundant number, since it is smaller than the sum of its proper divisors (85070394).

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

66575034 is a wasteful number, since it uses less digits than its factorization.

66575034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6812 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 66575034 is about 8159.3525478435. The cubic root of 66575034 is about 405.2942717280.

The spelling of 66575034 in words is "sixty-six million, five hundred seventy-five thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 54 61 81 122 162 183 366 549 1098 1647 3294 4941 6737 9882 13474 20211 40422 60633 121266 181899 363798 410957 545697 821914 1091394 1232871 2465742 3698613 7397226 11095839 22191678 33287517 66575034