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3966620 = 225729977
BaseRepresentation
bin1111001000011010011100
321110112011212
433020122130
52003412440
6221003552
745500330
oct17103234
97415155
103966620
11226a1a9
1213b35b8
13a8b618
147537c0
15535465
hex3c869c

3966620 has 48 divisors (see below), whose sum is σ = 9858240. Its totient is φ = 1311744.

The previous prime is 3966617. The next prime is 3966623. The reversal of 3966620 is 266693.

3966620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3966617) and next prime (3966623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966623) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3572 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (205380).

Almost surely, 23966620 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 3966620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4929120).

3966620 is an abundant number, since it is smaller than the sum of its proper divisors (5891620).

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

3966620 is a wasteful number, since it uses less digits than its factorization.

3966620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022 (or 1020 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 32.

The square root of 3966620 is about 1991.6375172204. The cubic root of 3966620 is about 158.2973091328.

The spelling of 3966620 in words is "three million, nine hundred sixty-six thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 977 1015 1954 2030 3908 4060 4885 6839 9770 13678 19540 27356 28333 34195 56666 68390 113332 136780 141665 198331 283330 396662 566660 793324 991655 1983310 3966620