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2105639244 = 22321716072141
BaseRepresentation
bin111110110000001…
…1000000101001100
312102202010120000200
41331200120011030
513303020423434
6544535053500
7103115431632
oct17540300514
95382116020
102105639244
1199063aa25
124a9211290
132773138a7
1415d917352
15c4ccd199
hex7d81814c

2105639244 has 72 divisors (see below), whose sum is σ = 5641822368. Its totient is φ = 659873280.

The previous prime is 2105639233. The next prime is 2105639273. The reversal of 2105639244 is 4429365012.

It is a happy number.

2105639244 is a `hidden beast` number, since 2 + 1 + 0 + 563 + 92 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2105639199 and 2105639208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 982414 + ... + 984554.

It is an arithmetic number, because the mean of its divisors is an integer number (78358644).

Almost surely, 22105639244 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 2105639244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2820911184).

2105639244 is an abundant number, since it is smaller than the sum of its proper divisors (3536183124).

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

2105639244 is a wasteful number, since it uses less digits than its factorization.

2105639244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3775 (or 3770 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 2105639244 is about 45887.2448944148. The cubic root of 2105639244 is about 1281.7244100518.

The spelling of 2105639244 in words is "two billion, one hundred five million, six hundred thirty-nine thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 1607 2141 3214 4282 4821 6423 6428 8564 9642 12846 14463 19269 19284 25692 27319 28926 36397 38538 54638 57852 72794 77076 81957 109191 109276 145588 163914 218382 245871 327573 327828 436764 491742 655146 983484 1310292 3440587 6881174 10321761 13762348 20643522 30965283 41287044 58489979 61930566 116979958 123861132 175469937 233959916 350939874 526409811 701879748 1052819622 2105639244