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65940993 = 3337149443
BaseRepresentation
bin1111101110001…
…0111000000001
311121002011001000
43323202320001
5113340102433
610313202213
71430326536
oct373427001
9147064030
1065940993
1134249498
121a100369
131087a151
148a86d8d
155bc8113
hex3ee2e01

65940993 has 32 divisors (see below), whose sum is σ = 101232000. Its totient is φ = 42389568.

The previous prime is 65940991. The next prime is 65941009. The reversal of 65940993 is 39904956.

It is a happy number.

65940993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 65940993 - 21 = 65940991 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (65940991) 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 31 ways as a sum of consecutive naturals, for example, 148630 + ... + 149072.

It is an arithmetic number, because the mean of its divisors is an integer number (3163500).

Almost surely, 265940993 is an apocalyptic number.

It is an amenable number.

65940993 is a deficient number, since it is larger than the sum of its proper divisors (35291007).

65940993 is a wasteful number, since it uses less digits than its factorization.

65940993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 65940993 is about 8120.4059627583. The cubic root of 65940993 is about 404.0035310772.

The spelling of 65940993 in words is "sixty-five million, nine hundred forty thousand, nine hundred ninety-three".

Divisors: 1 3 9 27 37 111 149 333 443 447 999 1329 1341 3987 4023 5513 11961 16391 16539 49173 49617 66007 147519 148851 198021 442557 594063 1782189 2442259 7326777 21980331 65940993