Search a number
-
+
66365145 = 325711107179
BaseRepresentation
bin1111110100101…
…0011011011001
311121212200212100
43331022123121
5113442141040
610330234013
71434044250
oct375123331
9147780770
1066365145
1134509130
121a285909
1310998222
148b57797
155c5db30
hex3f4a6d9

66365145 has 96 divisors (see below), whose sum is σ = 145566720. Its totient is φ = 27169920.

The previous prime is 66365113. The next prime is 66365149. The reversal of 66365145 is 54156366.

66365145 is a `hidden beast` number, since 6 + 636 + 5 + 14 + 5 = 666.

It is not a de Polignac number, because 66365145 - 25 = 66365113 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66365149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 370666 + ... + 370844.

It is an arithmetic number, because the mean of its divisors is an integer number (1516320).

Almost surely, 266365145 is an apocalyptic number.

It is an amenable number.

66365145 is an abundant number, since it is smaller than the sum of its proper divisors (79201575).

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

66365145 is a wasteful number, since it uses less digits than its factorization.

66365145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 66365145 is about 8146.4805284245. The cubic root of 66365145 is about 404.8679038791.

It can be divided in two parts, 6636 and 5145, that added together give a triangular number (11781 = T153).

The spelling of 66365145 in words is "sixty-six million, three hundred sixty-five thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 107 165 179 231 315 321 385 495 535 537 693 749 895 963 1155 1177 1253 1605 1611 1969 2247 2685 3465 3531 3745 3759 4815 5885 5907 6265 6741 8055 8239 9845 10593 11235 11277 13783 17655 17721 18795 19153 24717 29535 33705 41195 41349 52965 56385 57459 68915 74151 88605 95765 123585 124047 134071 172377 206745 210683 287295 370755 402213 620235 632049 670355 861885 1053415 1206639 1474781 1896147 2011065 3160245 4424343 6033195 7373905 9480735 13273029 22121715 66365145