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3930966 = 23213107157
BaseRepresentation
bin1110111111101101010110
321101201021100
432333231112
52001242331
6220130530
745261354
oct16775526
97351240
103930966
112245436
121396a46
13a78320
147447d4
15529ae6
hex3bfb56

3930966 has 48 divisors (see below), whose sum is σ = 9316944. Its totient is φ = 1190592.

The previous prime is 3930923. The next prime is 3930973. The reversal of 3930966 is 6690393.

3930966 = T214 + T215 + ... + T321.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3930966.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24960 + ... + 25116.

It is an arithmetic number, because the mean of its divisors is an integer number (194103).

Almost surely, 23930966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3930966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4658472).

3930966 is an abundant number, since it is smaller than the sum of its proper divisors (5385978).

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

3930966 is a wasteful number, since it uses less digits than its factorization.

3930966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The square root of 3930966 is about 1982.6663864604. Note that the first 3 decimals coincide. The cubic root of 3930966 is about 157.8215953520.

The spelling of 3930966 in words is "three million, nine hundred thirty thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 107 117 157 214 234 314 321 471 642 942 963 1391 1413 1926 2041 2782 2826 4082 4173 6123 8346 12246 12519 16799 18369 25038 33598 36738 50397 100794 151191 218387 302382 436774 655161 1310322 1965483 3930966