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66187160 = 2351329791
BaseRepresentation
bin1111110001111…
…0111110011000
311121112122201022
43330132332120
5113420442120
610322342012
71432403324
oct374367630
9147478638
1066187160
11343a7436
121a1ba908
1310935200
148b0c984
155c26025
hex3f1ef98

66187160 has 48 divisors (see below), whose sum is σ = 161274240. Its totient is φ = 24435840.

The previous prime is 66187159. The next prime is 66187189. The reversal of 66187160 is 6178166.

It is a self number, because there is not a number n which added to its sum of digits gives 66187160.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 1865 + ... + 11655.

It is an arithmetic number, because the mean of its divisors is an integer number (3359880).

Almost surely, 266187160 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 66187160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637120).

66187160 is an abundant number, since it is smaller than the sum of its proper divisors (95087080).

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

66187160 is a wasteful number, since it uses less digits than its factorization.

66187160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9828 (or 9811 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 66187160 is about 8135.5491517168. The cubic root of 66187160 is about 404.5056407777.

The spelling of 66187160 in words is "sixty-six million, one hundred eighty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 9791 19582 39164 48955 78328 97910 127283 195820 254566 391640 509132 636415 1018264 1272830 1654679 2545660 3309358 5091320 6618716 8273395 13237432 16546790 33093580 66187160