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66185130 = 235111311531
BaseRepresentation
bin1111110001111…
…0011110101010
311121112112221010
43330132132222
5113420411010
610322324350
71432364364
oct374363652
9147475833
1066185130
11343a5960
121a1b96b6
13109342cb
148b0bd34
155c25620
hex3f1e7aa

66185130 has 64 divisors (see below), whose sum is σ = 174721536. Its totient is φ = 15912000.

The previous prime is 66185101. The next prime is 66185143. The reversal of 66185130 is 3158166.

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

It is an unprimeable number.

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, 42465 + ... + 43995.

It is an arithmetic number, because the mean of its divisors is an integer number (2730024).

Almost surely, 266185130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66185130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360768).

66185130 is an abundant number, since it is smaller than the sum of its proper divisors (108536406).

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

66185130 is a wasteful number, since it uses less digits than its factorization.

66185130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1683.

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 66185130 is about 8135.4243896677. The cubic root of 66185130 is about 404.5015052584.

The spelling of 66185130 in words is "sixty-six million, one hundred eighty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 131 165 262 330 393 655 786 1310 1441 1531 1965 2882 3062 3930 4323 4593 7205 7655 8646 9186 14410 15310 16841 21615 22965 33682 43230 45930 50523 84205 101046 168410 200561 252615 401122 505230 601683 1002805 1203366 2005610 2206171 3008415 4412342 6016830 6618513 11030855 13237026 22061710 33092565 66185130