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666217020 = 2235712231297
BaseRepresentation
bin100111101101011…
…010101000111100
31201102121022221110
4213231122220330
52331022421040
6150035202020
722336515450
oct4755325074
91642538843
10666217020
11312075787
12167146310
13a8041571
14646a2660
153d74c980
hex27b5aa3c

666217020 has 96 divisors (see below), whose sum is σ = 2135282688. Its totient is φ = 152036352.

The previous prime is 666216997. The next prime is 666217021. The reversal of 666217020 is 20712666.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (666217021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 513012 + ... + 514308.

It is an arithmetic number, because the mean of its divisors is an integer number (22242528).

Almost surely, 2666217020 is an apocalyptic number.

666217020 is a gapful number since it is divisible by the number (60) 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 666217020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067641344).

666217020 is an abundant number, since it is smaller than the sum of its proper divisors (1469065668).

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

666217020 is a wasteful number, since it uses less digits than its factorization.

666217020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2539 (or 2537 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 666217020 is about 25811.1801357474. The cubic root of 666217020 is about 873.3840192921.

Adding to 666217020 its reverse (20712666), we get a palindrome (686929686).

The spelling of 666217020 in words is "six hundred sixty-six million, two hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 1223 1297 2446 2594 3669 3891 4892 5188 6115 6485 7338 7782 8561 9079 12230 12970 14676 15564 17122 18158 18345 19455 24460 25683 25940 27237 34244 36316 36690 38910 42805 45395 51366 54474 73380 77820 85610 90790 102732 108948 128415 136185 171220 181580 256830 272370 513660 544740 1586231 3172462 4758693 6344924 7931155 9517386 11103617 15862310 19034772 22207234 23793465 31724620 33310851 44414468 47586930 55518085 66621702 95173860 111036170 133243404 166554255 222072340 333108510 666217020