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2105907804 = 22327111358439
BaseRepresentation
bin111110110000101…
…1001101001011100
312102202122012102100
41331201121221130
513303103022204
6544544525100
7103120630620
oct17541315134
95382565370
102105907804
11990803780
124a9320790
132773a8bc0
1415d987180
15c4d32a39
hex7d859a5c

2105907804 has 144 divisors (see below), whose sum is σ = 7147445760. Its totient is φ = 504904320.

The previous prime is 2105907781. The next prime is 2105907833. The reversal of 2105907804 is 4087095012.

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

It is a congruent number.

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, 6817 + ... + 65255.

It is an arithmetic number, because the mean of its divisors is an integer number (49635040).

Almost surely, 22105907804 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 2105907804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3573722880).

2105907804 is an abundant number, since it is smaller than the sum of its proper divisors (5041537956).

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

2105907804 is a wasteful number, since it uses less digits than its factorization.

2105907804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58480 (or 58475 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2105907804 is about 45890.1711044969. The cubic root of 2105907804 is about 1281.7788994862.

It can be divided in two parts, 2105 and 907804, that added together give a palindrome (909909).

The spelling of 2105907804 in words is "two billion, one hundred five million, nine hundred seven thousand, eight hundred four".

Divisors: 1 2 3 4 6 7 9 11 12 13 14 18 21 22 26 28 33 36 39 42 44 52 63 66 77 78 84 91 99 117 126 132 143 154 156 182 198 231 234 252 273 286 308 364 396 429 462 468 546 572 693 819 858 924 1001 1092 1287 1386 1638 1716 2002 2574 2772 3003 3276 4004 5148 6006 9009 12012 18018 36036 58439 116878 175317 233756 350634 409073 525951 642829 701268 759707 818146 1051902 1227219 1285658 1519414 1636292 1928487 2103804 2279121 2454438 2571316 3038828 3681657 3856974 4499803 4558242 4908876 5317949 5785461 6837363 7363314 7713948 8356777 8999606 9116484 10635898 11570922 13499409 13674726 14726628 15953847 16713554 17999212 21271796 23141844 25070331 26998818 27349452 31907694 33427108 40498227 47861541 50140662 53997636 58497439 63815388 75210993 80996454 95723082 100281324 116994878 150421986 161992908 175492317 191446164 233989756 300843972 350984634 526476951 701969268 1052953902 2105907804