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66986160 = 2435279109
BaseRepresentation
bin1111111110001…
…0000010110000
311200001020201220
43333202002300
5114122024120
610351425040
71442241633
oct377420260
9150036656
1066986160
11348a276a
121a525180
1310b54aa7
148c79c1a
155d32b40
hex3fe20b0

66986160 has 40 divisors (see below), whose sum is σ = 207657840. Its totient is φ = 17862912.

The previous prime is 66986147. The next prime is 66986209. The reversal of 66986160 is 6168966.

66986160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 139315 + ... + 139794.

It is an arithmetic number, because the mean of its divisors is an integer number (5191446).

Almost surely, 266986160 is an apocalyptic number.

66986160 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66986160 is an abundant number, since it is smaller than the sum of its proper divisors (140671680).

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

66986160 is a wasteful number, since it uses less digits than its factorization.

66986160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279125 (or 279119 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 66986160 is about 8184.5073156544. The cubic root of 66986160 is about 406.1268420363.

The spelling of 66986160 in words is "sixty-six million, nine hundred eighty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 279109 558218 837327 1116436 1395545 1674654 2232872 2791090 3349308 4186635 4465744 5582180 6698616 8373270 11164360 13397232 16746540 22328720 33493080 66986160