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66210980 = 22511595101
BaseRepresentation
bin1111110010010…
…0110010100100
311121120212101112
43330210302210
5113422222410
610323044152
71432532633
oct374446244
9147525345
1066210980
1134413320
121a210658
1310942cc4
148b1751a
155c2d105
hex3f24ca4

66210980 has 48 divisors (see below), whose sum is σ = 154284480. Its totient is φ = 23664000.

The previous prime is 66210961. The next prime is 66210983. The reversal of 66210980 is 8901266.

66210980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66210983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10430 + ... + 15530.

It is an arithmetic number, because the mean of its divisors is an integer number (3214260).

Almost surely, 266210980 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 66210980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77142240).

66210980 is an abundant number, since it is smaller than the sum of its proper divisors (88073500).

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

66210980 is a wasteful number, since it uses less digits than its factorization.

66210980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5180 (or 5178 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 66210980 is about 8137.0129654561. The cubic root of 66210980 is about 404.5541606050.

The spelling of 66210980 in words is "sixty-six million, two hundred ten thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 220 236 295 590 649 1180 1298 2596 3245 5101 6490 10202 12980 20404 25505 51010 56111 102020 112222 224444 280555 300959 561110 601918 1122220 1203836 1504795 3009590 3310549 6019180 6621098 13242196 16552745 33105490 66210980