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2105902134 = 232723969931
BaseRepresentation
bin111110110000101…
…1000010000110110
312102202121220122100
41331201120100312
513303102332014
6544544442530
7103120605240
oct17541302066
95382556570
102105902134
119907aa496
124a9319446
132773a644b
1415d985090
15c4d31009
hex7d858436

2105902134 has 48 divisors (see below), whose sum is σ = 5236508160. Its totient is φ = 599160240.

The previous prime is 2105902133. The next prime is 2105902171. The reversal of 2105902134 is 4312095012.

2105902134 is a `hidden beast` number, since 21 + 0 + 590 + 21 + 34 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2105902098 and 2105902107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105902133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4852 + ... + 65079.

It is an arithmetic number, because the mean of its divisors is an integer number (109093920).

Almost surely, 22105902134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2105902134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618254080).

2105902134 is an abundant number, since it is smaller than the sum of its proper divisors (3130606026).

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

2105902134 is a wasteful number, since it uses less digits than its factorization.

2105902134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70185 (or 70182 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2105902134 is about 45890.1093265205. The cubic root of 2105902134 is about 1281.7777491204. Note that the first 4 decimals are identical.

Adding to 2105902134 its reverse (4312095012), we get a palindrome (6417997146).

The spelling of 2105902134 in words is "two billion, one hundred five million, nine hundred two thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 15057 30114 69931 139862 209793 419586 489517 629379 979034 1258758 1468551 2937102 4405653 8811306 16713509 33427018 50140527 100281054 116994563 150421581 233989126 300843162 350983689 701967378 1052951067 2105902134