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2010860852 = 2271113618233
BaseRepresentation
bin111011111011011…
…0100110100110100
312012010210022111212
41313312310310310
513104240021402
6531311420552
7100555015040
oct16766646464
95163708455
102010860852
11942095580
12481524758
132607aa9c0
141510c5020
15bb80a952
hex77db4d34

2010860852 has 96 divisors (see below), whose sum is σ = 4802859264. Its totient is φ = 711244800.

The previous prime is 2010860851. The next prime is 2010860857. The reversal of 2010860852 is 2580680102.

It is a super-2 number, since 2×20108608522 = 8087122732212331808, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010860851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240128 + ... + 248360.

It is an arithmetic number, because the mean of its divisors is an integer number (50029784).

Almost surely, 22010860852 is an apocalyptic number.

2010860852 is a gapful number since it is divisible by the number (22) 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 2010860852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2401429632).

2010860852 is an abundant number, since it is smaller than the sum of its proper divisors (2791998412).

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

2010860852 is a wasteful number, since it uses less digits than its factorization.

2010860852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8329 (or 8327 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 2010860852 is about 44842.6231614521. The cubic root of 2010860852 is about 1262.1975700386.

The spelling of 2010860852 in words is "two billion, ten million, eight hundred sixty thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 61 77 91 122 143 154 182 244 286 308 364 427 572 671 793 854 1001 1342 1586 1708 2002 2684 3172 4004 4697 5551 8233 8723 9394 11102 16466 17446 18788 22204 32932 34892 57631 61061 90563 107029 115262 122122 181126 214058 230524 244244 362252 428116 502213 633941 749203 1004426 1177319 1267882 1498406 2008852 2354638 2535764 2996812 3515491 4709276 5524343 6528769 7030982 8241233 11048686 13057538 14061964 16482466 22097372 26115076 32964932 38670401 45701383 71816459 77340802 91402766 143632918 154681604 182805532 287265836 502715213 1005430426 2010860852