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395868660 = 2235115311317
BaseRepresentation
bin10111100110000…
…111100111110100
31000120220012201020
4113212013213310
51302320244120
6103140501140
712544554015
oct2746074764
91016805636
10395868660
11193503a90
12b06aa7b0
1364026015
143a80b00c
1524b49640
hex179879f4

395868660 has 96 divisors (see below), whose sum is σ = 1232122752. Its totient is φ = 94149120.

The previous prime is 395868623. The next prime is 395868677. The reversal of 395868660 is 66868593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29322 + ... + 40638.

It is an arithmetic number, because the mean of its divisors is an integer number (12834612).

Almost surely, 2395868660 is an apocalyptic number.

395868660 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 395868660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616061376).

395868660 is an abundant number, since it is smaller than the sum of its proper divisors (836254092).

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

395868660 is a wasteful number, since it uses less digits than its factorization.

395868660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11393 (or 11391 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The square root of 395868660 is about 19896.4484267922. The cubic root of 395868660 is about 734.2608516349.

The spelling of 395868660 in words is "three hundred ninety-five million, eight hundred sixty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 5830 6996 8745 11317 11660 17490 22634 33951 34980 45268 56585 67902 113170 124487 135804 169755 226340 248974 339510 373461 497948 599801 622435 679020 746922 1199602 1244870 1493844 1799403 1867305 2399204 2489740 2999005 3598806 3734610 5998010 6597811 7197612 7469220 8997015 11996020 13195622 17994030 19793433 26391244 32989055 35988060 39586866 65978110 79173732 98967165 131956220 197934330 395868660