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66004112 = 2423672677
BaseRepresentation
bin1111101111001…
…0010010010000
311121012100121202
43323302102100
5113344112422
610314410332
71431011546
oct373622220
9147170552
1066004112
1134291959
121a1309a8
131089cab5
148aa1d96
155bdbb92
hex3ef2490

66004112 has 40 divisors (see below), whose sum is σ = 135485376. Its totient is φ = 31084416.

The previous prime is 66004111. The next prime is 66004117. The reversal of 66004112 is 21140066.

It is a happy number.

66004112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66004111) by changing a digit.

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, 23318 + ... + 25994.

Almost surely, 266004112 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 66004112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67742688).

66004112 is an abundant number, since it is smaller than the sum of its proper divisors (69481264).

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

66004112 is a wasteful number, since it uses less digits than its factorization.

66004112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 66004112 is about 8124.2914767997. The cubic root of 66004112 is about 404.1323946046.

Adding to 66004112 its reverse (21140066), we get a palindrome (87144178).

The spelling of 66004112 in words is "sixty-six million, four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 23 46 67 92 134 184 268 368 536 1072 1541 2677 3082 5354 6164 10708 12328 21416 24656 42832 61571 123142 179359 246284 358718 492568 717436 985136 1434872 2869744 4125257 8250514 16501028 33002056 66004112