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2095141860 = 22325712713093
BaseRepresentation
bin111110011100001…
…0101001111100100
312102000101020022200
41330320111033210
513242324014420
6543522054500
7102630261210
oct17470251744
95360336280
102095141860
119857200a9
124a57aa430
132750a9816
1415c383940
15c3e07b90
hex7ce153e4

2095141860 has 144 divisors (see below), whose sum is σ = 7320907776. Its totient is φ = 475082496.

The previous prime is 2095141817. The next prime is 2095141877. The reversal of 2095141860 is 681415902.

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

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 47 ways as a sum of consecutive naturals, for example, 153474 + ... + 166566.

Almost surely, 22095141860 is an apocalyptic number.

2095141860 is a gapful number since it is divisible by the number (20) 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 2095141860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660453888).

2095141860 is an abundant number, since it is smaller than the sum of its proper divisors (5225765916).

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

2095141860 is a wasteful number, since it uses less digits than its factorization.

2095141860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13242 (or 13237 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 2095141860 is about 45772.7196045854. The cubic root of 2095141860 is about 1279.5909052351.

The spelling of 2095141860 in words is "two billion, ninety-five million, one hundred forty-one thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 127 140 180 210 252 254 315 381 420 508 630 635 762 889 1143 1260 1270 1524 1778 1905 2286 2540 2667 3556 3810 4445 4572 5334 5715 7620 8001 8890 10668 11430 13093 13335 16002 17780 22860 26186 26670 32004 39279 40005 52372 53340 65465 78558 80010 91651 117837 130930 157116 160020 183302 196395 235674 261860 274953 366604 392790 458255 471348 549906 589185 785580 824859 916510 1099812 1178370 1374765 1649718 1662811 1833020 2356740 2749530 3299436 3325622 4124295 4988433 5499060 6651244 8248590 8314055 9976866 11639677 14965299 16497180 16628110 19953732 23279354 24942165 29930598 33256220 34919031 46558708 49884330 58198385 59861196 69838062 74826495 99768660 104757093 116396770 139676124 149652990 174595155 209514186 232793540 299305980 349190310 419028372 523785465 698380620 1047570930 2095141860