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3858660 = 22325131797
BaseRepresentation
bin1110101110000011100100
321021001002100
432232003210
51441434120
6214412100
744540511
oct16560344
97231070
103858660
1121a6083
121361030
13a51440
14726308
15513490
hex3ae0e4

3858660 has 144 divisors (see below), whose sum is σ = 13484016. Its totient is φ = 884736.

The previous prime is 3858629. The next prime is 3858667. The reversal of 3858660 is 668583.

3858660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 79524 + 3779136 = 282^2 + 1944^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3858667) 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 47 ways as a sum of consecutive naturals, for example, 39732 + ... + 39828.

It is an arithmetic number, because the mean of its divisors is an integer number (93639).

Almost surely, 23858660 is an apocalyptic number.

3858660 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 3858660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6742008).

3858660 is an abundant number, since it is smaller than the sum of its proper divisors (9625356).

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

3858660 is a wasteful number, since it uses less digits than its factorization.

3858660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 3858660 is about 1964.3472198163. The cubic root of 3858660 is about 156.8479466902.

It can be divided in two parts, 385 and 8660, that added together give a triangular number (9045 = T134).

The spelling of 3858660 in words is "three million, eight hundred fifty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 17 18 20 26 30 34 36 39 45 51 52 60 65 68 78 85 90 97 102 117 130 153 156 170 180 194 195 204 221 234 255 260 291 306 340 388 390 442 468 485 510 582 585 612 663 765 780 873 884 970 1020 1105 1164 1170 1261 1326 1455 1530 1649 1746 1940 1989 2210 2340 2522 2652 2910 3060 3298 3315 3492 3783 3978 4365 4420 4947 5044 5820 6305 6596 6630 7566 7956 8245 8730 9894 9945 11349 12610 13260 14841 15132 16490 17460 18915 19788 19890 21437 22698 24735 25220 29682 32980 37830 39780 42874 45396 49470 56745 59364 64311 74205 75660 85748 98940 107185 113490 128622 148410 192933 214370 226980 257244 296820 321555 385866 428740 643110 771732 964665 1286220 1929330 3858660