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66371620 = 22573141373
BaseRepresentation
bin1111110100110…
…0000000100100
311121220000202011
43331030000210
5113442342440
610330324004
71434102160
oct375140044
9147800664
1066371620
1134512a87
121a289604
131099b163
148b59ca0
155c609ea
hex3f4c024

66371620 has 96 divisors (see below), whose sum is σ = 168892416. Its totient is φ = 21427200.

The previous prime is 66371611. The next prime is 66371639. The reversal of 66371620 is 2617366.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177754 + ... + 178126.

It is an arithmetic number, because the mean of its divisors is an integer number (1759296).

Almost surely, 266371620 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 66371620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84446208).

66371620 is an abundant number, since it is smaller than the sum of its proper divisors (102520796).

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

66371620 is a wasteful number, since it uses less digits than its factorization.

66371620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 459 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 31.

The square root of 66371620 is about 8146.8779296121. The cubic root of 66371620 is about 404.8810706020.

Adding to 66371620 its reverse (2617366), we get a palindrome (68988986).

The spelling of 66371620 in words is "sixty-six million, three hundred seventy-one thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 41 62 70 82 124 140 155 164 205 217 287 310 373 410 434 574 620 746 820 868 1085 1148 1271 1435 1492 1865 2170 2542 2611 2870 3730 4340 5084 5222 5740 6355 7460 8897 10444 11563 12710 13055 15293 17794 23126 25420 26110 30586 35588 44485 46252 52220 57815 61172 76465 80941 88970 107051 115630 152930 161882 177940 214102 231260 305860 323764 404705 428204 474083 535255 809410 948166 1070510 1618820 1896332 2141020 2370415 3318581 4740830 6637162 9481660 13274324 16592905 33185810 66371620