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2106043368 = 23311131736097
BaseRepresentation
bin111110110000111…
…1010101111101000
312102202220002101020
41331201322233220
513303121341433
6544551452440
7103122034062
oct17541725750
95382802336
102106043368
11990896610
124a9387120
13277425810
1415d9c0732
15c4d5ccb3
hex7d87abe8

2106043368 has 128 divisors (see below), whose sum is σ = 6549621120. Its totient is φ = 554434560.

The previous prime is 2106043363. The next prime is 2106043397. The reversal of 2106043368 is 8633406012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2106043363) 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, 40296 + ... + 76392.

It is an arithmetic number, because the mean of its divisors is an integer number (51168915).

Almost surely, 22106043368 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 2106043368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3274810560).

2106043368 is an abundant number, since it is smaller than the sum of its proper divisors (4443577752).

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

2106043368 is a wasteful number, since it uses less digits than its factorization.

2106043368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36147 (or 36143 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 2106043368 is about 45891.6481290441. The cubic root of 2106043368 is about 1281.8064029609.

The spelling of 2106043368 in words is "two billion, one hundred six million, forty-three thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 374 408 429 442 561 572 663 748 858 884 1122 1144 1326 1496 1716 1768 2244 2431 2652 3432 4488 4862 5304 7293 9724 14586 19448 29172 36097 58344 72194 108291 144388 216582 288776 397067 433164 469261 613649 794134 866328 938522 1191201 1227298 1407783 1588268 1840947 1877044 2382402 2454596 2815566 3176536 3681894 3754088 4764804 4909192 5161871 5631132 6750139 7363788 7977437 9529608 10323742 11262264 13500278 14727576 15485613 15954874 20250417 20647484 23932311 27000556 30971226 31909748 40500834 41294968 47864622 54001112 61942452 63819496 81001668 87751807 95729244 123884904 162003336 175503614 191458488 263255421 351007228 526510842 702014456 1053021684 2106043368