Search a number
-
+
666280728 = 23351720161
BaseRepresentation
bin100111101101101…
…010001100011000
31201102201120100000
4213231222030120
52331031440403
6150040413000
722340202261
oct4755521430
91642646300
10666280728
11312109633
12167177160
13a8064569
14646bb968
153d7617a3
hex27b6a318

666280728 has 96 divisors (see below), whose sum is σ = 1981521360. Its totient is φ = 209018880.

The previous prime is 666280723. The next prime is 666280753. The reversal of 666280728 is 827082666.

It is a happy number.

666280728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666280723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22968 + ... + 43128.

Almost surely, 2666280728 is an apocalyptic number.

666280728 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 666280728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990760680).

666280728 is an abundant number, since it is smaller than the sum of its proper divisors (1315240632).

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

666280728 is a wasteful number, since it uses less digits than its factorization.

666280728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20199 (or 20183 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 666280728 is about 25812.4142226178. The cubic root of 666280728 is about 873.4118579563.

The spelling of 666280728 in words is "six hundred sixty-six million, two hundred eighty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 243 306 324 408 459 486 612 648 918 972 1224 1377 1836 1944 2754 3672 4131 5508 8262 11016 16524 20161 33048 40322 60483 80644 120966 161288 181449 241932 342737 362898 483864 544347 685474 725796 1028211 1088694 1370948 1451592 1633041 2056422 2177388 2741896 3084633 3266082 4112844 4354776 4899123 6169266 6532164 8225688 9253899 9798246 12338532 13064328 18507798 19596492 24677064 27761697 37015596 39192984 55523394 74031192 83285091 111046788 166570182 222093576 333140364 666280728