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2030410410 = 235731210061
BaseRepresentation
bin111100100000101…
…1001101010101010
312020111120112110120
41321001121222222
513124241113120
6533250424110
7101213126610
oct17101315252
95214515416
102030410410
11952128436
12487b92036
132648640a2
141539336b0
15bd3bd140
hex79059aaa

2030410410 has 96 divisors (see below), whose sum is σ = 5755142016. Its totient is φ = 449078400.

The previous prime is 2030410339. The next prime is 2030410427. The reversal of 2030410410 is 140140302.

2030410410 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2030410410.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 196780 + ... + 206840.

It is an arithmetic number, because the mean of its divisors is an integer number (59949396).

Almost surely, 22030410410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2030410410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2877571008).

2030410410 is an abundant number, since it is smaller than the sum of its proper divisors (3724731606).

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

2030410410 is a wasteful number, since it uses less digits than its factorization.

2030410410 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10140 (or 10109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2030410410 is about 45060.0755658488. The cubic root of 2030410410 is about 1266.2747407792.

Adding to 2030410410 its reverse (140140302), we get a palindrome (2170550712).

The spelling of 2030410410 in words is "two billion, thirty million, four hundred ten thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 105 155 186 210 217 310 434 465 651 930 961 1085 1302 1922 2170 2883 3255 4805 5766 6510 6727 9610 10061 13454 14415 20122 20181 28830 30183 33635 40362 50305 60366 67270 70427 100610 100905 140854 150915 201810 211281 301830 311891 352135 422562 623782 704270 935673 1056405 1559455 1871346 2112810 2183237 3118910 4366474 4678365 6549711 9356730 9668621 10916185 13099422 19337242 21832370 29005863 32748555 48343105 58011726 65497110 67680347 96686210 135360694 145029315 203041041 290058630 338401735 406082082 676803470 1015205205 2030410410