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3960405 = 3251731167
BaseRepresentation
bin1111000110111001010101
321110012122200
433012321111
52003213110
6220515113
745443241
oct17067125
97405580
103960405
112265569
1213aba99
13a88847
14751421
155336c0
hex3c6e55

3960405 has 48 divisors (see below), whose sum is σ = 7547904. Its totient is φ = 1912320.

The previous prime is 3960403. The next prime is 3960419. The reversal of 3960405 is 5040693.

It is a happy number.

It is not a de Polignac number, because 3960405 - 21 = 3960403 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3960401) 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 47 ways as a sum of consecutive naturals, for example, 23632 + ... + 23798.

It is an arithmetic number, because the mean of its divisors is an integer number (157248).

Almost surely, 23960405 is an apocalyptic number.

It is an amenable number.

3960405 is a deficient number, since it is larger than the sum of its proper divisors (3587499).

3960405 is a wasteful number, since it uses less digits than its factorization.

3960405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3960405 is about 1990.0766316903. The cubic root of 3960405 is about 158.2145911808.

The spelling of 3960405 in words is "three million, nine hundred sixty thousand, four hundred five".

Divisors: 1 3 5 9 15 17 31 45 51 85 93 153 155 167 255 279 465 501 527 765 835 1395 1503 1581 2505 2635 2839 4743 5177 7515 7905 8517 14195 15531 23715 25551 25885 42585 46593 77655 88009 127755 232965 264027 440045 792081 1320135 3960405