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395014180 = 2251141971
BaseRepresentation
bin10111100010110…
…111000000100100
31000112021210120211
4113202313000210
51302110423210
6103110305204
712534364561
oct2742670044
91015253524
10395014180
11192a80000
12b0358204
1363ab7102
143a667868
1524a2b38a
hex178b7024

395014180 has 120 divisors (see below), whose sum is σ = 974030400. Its totient is φ = 134164800.

The previous prime is 395014163. The next prime is 395014229. The reversal of 395014180 is 81410593.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5563545 + ... + 5563615.

It is an arithmetic number, because the mean of its divisors is an integer number (8116920).

Almost surely, 2395014180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 395014180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487015200).

395014180 is an abundant number, since it is smaller than the sum of its proper divisors (579016220).

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

395014180 is a wasteful number, since it uses less digits than its factorization.

395014180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 395014180 is about 19874.9636477655. The cubic root of 395014180 is about 733.7321719329.

It can be divided in two parts, 39501 and 4180, that added together give a square (43681 = 2092).

The spelling of 395014180 in words is "three hundred ninety-five million, fourteen thousand, one hundred eighty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 71 76 95 110 121 142 190 209 220 242 284 355 380 418 484 605 710 781 836 1045 1210 1331 1349 1420 1562 2090 2299 2420 2662 2698 3124 3905 4180 4598 5324 5396 6655 6745 7810 8591 9196 11495 13310 13490 14641 14839 15620 17182 22990 25289 26620 26980 29282 29678 34364 42955 45980 50578 58564 59356 73205 74195 85910 94501 101156 126445 146410 148390 163229 171820 189002 252890 278179 292820 296780 326458 378004 472505 505780 556358 652916 816145 945010 1039511 1112716 1390895 1632290 1795519 1890020 2079022 2781790 3264580 3591038 4158044 5197555 5563580 7182076 8977595 10395110 17955190 19750709 20790220 35910380 39501418 79002836 98753545 197507090 395014180