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66096768 = 273172127
BaseRepresentation
bin1111110000100…
…0111010000000
311121101001201110
43330020322000
5113410044033
610320403320
71431545643
oct374107200
9147331643
1066096768
1134345531
121a176540
131090301a
148ac7a5a
155c09363
hex3f08e80

66096768 has 32 divisors (see below), whose sum is σ = 175570560. Its totient is φ = 22032128.

The previous prime is 66096757. The next prime is 66096791. The reversal of 66096768 is 86769066.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85680 + ... + 86447.

It is an arithmetic number, because the mean of its divisors is an integer number (5486580).

Almost surely, 266096768 is an apocalyptic number.

It is an amenable number.

66096768 is an abundant number, since it is smaller than the sum of its proper divisors (109473792).

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

66096768 is a wasteful number, since it uses less digits than its factorization.

66096768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172144 (or 172132 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The square root of 66096768 is about 8129.9918819148. The cubic root of 66096768 is about 404.3214120354.

The spelling of 66096768 in words is "sixty-six million, ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 172127 344254 516381 688508 1032762 1377016 2065524 2754032 4131048 5508064 8262096 11016128 16524192 22032256 33048384 66096768