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66108580 = 225171271531
BaseRepresentation
bin1111110000101…
…1110010100100
311121101122220221
43330023302210
5113410433310
610320534124
71431625246
oct374136244
9147348827
1066108580
113435339a
121a181344
1310908505
148acc096
155c0cada
hex3f0bca4

66108580 has 48 divisors (see below), whose sum is σ = 148248576. Its totient is φ = 24675840.

The previous prime is 66108557. The next prime is 66108583. The reversal of 66108580 is 8580166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (66108583) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42415 + ... + 43945.

It is an arithmetic number, because the mean of its divisors is an integer number (3088512).

Almost surely, 266108580 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 66108580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74124288).

66108580 is an abundant number, since it is smaller than the sum of its proper divisors (82139996).

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

66108580 is a wasteful number, since it uses less digits than its factorization.

66108580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1684 (or 1682 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 66108580 is about 8130.7182954521. The cubic root of 66108580 is about 404.3454957145.

The spelling of 66108580 in words is "sixty-six million, one hundred eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 127 170 254 340 508 635 1270 1531 2159 2540 3062 4318 6124 7655 8636 10795 15310 21590 26027 30620 43180 52054 104108 130135 194437 260270 388874 520540 777748 972185 1944370 3305429 3888740 6610858 13221716 16527145 33054290 66108580