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3966060 = 2235721971
BaseRepresentation
bin1111001000010001101100
321110111102010
433020101230
52003403220
6221001220
745465600
oct17102154
97414363
103966060
11226983a
1213b3210
13a8b2a7
14753500
155351e0
hex3c846c

3966060 has 144 divisors (see below), whose sum is σ = 13789440. Its totient is φ = 846720.

The previous prime is 3966059. The next prime is 3966089. The reversal of 3966060 is 606693.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55825 + ... + 55895.

It is an arithmetic number, because the mean of its divisors is an integer number (95760).

Almost surely, 23966060 is an apocalyptic number.

3966060 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3966060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6894720).

3966060 is an abundant number, since it is smaller than the sum of its proper divisors (9823380).

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

3966060 is a wasteful number, since it uses less digits than its factorization.

3966060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 30.

The square root of 3966060 is about 1991.4969244264. The cubic root of 3966060 is about 158.2898594094.

The spelling of 3966060 in words is "three million, nine hundred sixty-six thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 49 57 60 70 71 76 84 95 98 105 114 133 140 142 147 190 196 210 213 228 245 266 284 285 294 355 380 399 420 426 490 497 532 570 588 665 710 735 798 852 931 980 994 1065 1140 1330 1349 1420 1470 1491 1596 1862 1988 1995 2130 2485 2660 2698 2793 2940 2982 3479 3724 3990 4047 4260 4655 4970 5396 5586 5964 6745 6958 7455 7980 8094 9310 9443 9940 10437 11172 13490 13916 13965 14910 16188 17395 18620 18886 20235 20874 26980 27930 28329 29820 34790 37772 40470 41748 47215 52185 55860 56658 66101 69580 80940 94430 104370 113316 132202 141645 188860 198303 208740 264404 283290 330505 396606 566580 661010 793212 991515 1322020 1983030 3966060