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66185860 = 22513833067
BaseRepresentation
bin1111110001111…
…0101010000100
311121112120221011
43330132222010
5113420421420
610322332004
71432366456
oct374365204
9147476834
1066185860
11343a6464
121a1ba004
1310934740
148b0c2d6
155c2595a
hex3f1ea84

66185860 has 48 divisors (see below), whose sum is σ = 151534656. Its totient is φ = 24135552.

The previous prime is 66185857. The next prime is 66185887. The reversal of 66185860 is 6858166.

It is a happy number.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20047 + ... + 23113.

It is an arithmetic number, because the mean of its divisors is an integer number (3156972).

Almost surely, 266185860 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 66185860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75767328).

66185860 is an abundant number, since it is smaller than the sum of its proper divisors (85348796).

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

66185860 is a wasteful number, since it uses less digits than its factorization.

66185860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3172 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The square root of 66185860 is about 8135.4692550584. The cubic root of 66185860 is about 404.5029924253.

The spelling of 66185860 in words is "sixty-six million, one hundred eighty-five thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 83 130 166 260 332 415 830 1079 1660 2158 3067 4316 5395 6134 10790 12268 15335 21580 30670 39871 61340 79742 159484 199355 254561 398710 509122 797420 1018244 1272805 2545610 3309293 5091220 6618586 13237172 16546465 33092930 66185860