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66006105 = 3511241887
BaseRepresentation
bin1111101111001…
…0110001011001
311121012110100120
43323302301121
5113344143410
610314423453
71431020424
oct373626131
9147173316
1066006105
1134293400
121a131b89
13108a0989
148aa29bb
155bdc570
hex3ef2c59

66006105 has 48 divisors (see below), whose sum is σ = 119048832. Its totient is φ = 31187200.

The previous prime is 66006103. The next prime is 66006107. The reversal of 66006105 is 50160066.

It is an interprime number because it is at equal distance from previous prime (66006103) and next prime (66006107).

It is not a de Polignac number, because 66006105 - 21 = 66006103 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66006103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73972 + ... + 74858.

It is an arithmetic number, because the mean of its divisors is an integer number (2480184).

Almost surely, 266006105 is an apocalyptic number.

It is an amenable number.

66006105 is a deficient number, since it is larger than the sum of its proper divisors (53042727).

66006105 is a wasteful number, since it uses less digits than its factorization.

66006105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 66006105 is about 8124.4141327237. The cubic root of 66006105 is about 404.1364621681.

The spelling of 66006105 in words is "sixty-six million, six thousand, one hundred five".

Divisors: 1 3 5 11 15 33 41 55 121 123 165 205 363 451 605 615 887 1353 1815 2255 2661 4435 4961 6765 9757 13305 14883 24805 29271 36367 48785 74415 107327 109101 146355 181835 321981 400037 536635 545505 1200111 1609905 2000185 4400407 6000555 13201221 22002035 66006105