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395097660 = 22325671812
BaseRepresentation
bin10111100011001…
…011011000111100
31000112110001002200
4113203023120330
51302121111120
6103112151500
712535163136
oct2743133074
91015401080
10395097660
111930277a1
12b0398590
1363b160c9
143a68a056
1524a45e90
hex178cb63c

395097660 has 108 divisors (see below), whose sum is σ = 1223107704. Its totient is φ = 103213440.

The previous prime is 395097649. The next prime is 395097673. The reversal of 395097660 is 66790593.

It is a super-2 number, since 2×3950976602 = 312204321874951200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2182770 + ... + 2182950.

Almost surely, 2395097660 is an apocalyptic number.

395097660 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 395097660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (611553852).

395097660 is an abundant number, since it is smaller than the sum of its proper divisors (828010044).

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

395097660 is a wasteful number, since it uses less digits than its factorization.

395097660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 395097660 is about 19877.0636664473. The cubic root of 395097660 is about 733.7838558558.

The spelling of 395097660 in words is "three hundred ninety-five million, ninety-seven thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 181 201 268 335 362 402 543 603 670 724 804 905 1005 1086 1206 1340 1629 1810 2010 2172 2412 2715 3015 3258 3620 4020 5430 6030 6516 8145 10860 12060 12127 16290 24254 32580 32761 36381 48508 60635 65522 72762 98283 109143 121270 131044 145524 163805 181905 196566 218286 242540 294849 327610 363810 393132 436572 491415 545715 589698 655220 727620 982830 1091430 1179396 1474245 1965660 2182860 2194987 2948490 4389974 5896980 6584961 8779948 10974935 13169922 19754883 21949870 26339844 32924805 39509766 43899740 65849610 79019532 98774415 131699220 197548830 395097660