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2905060896 = 253316672017
BaseRepresentation
bin1010110100100111…
…1011011000100000
321111110101101101000
42231021323120200
521422143422041
61200133312000
7131663416203
oct25511733040
97443341330
102905060896
111260916281
12690a95600
13373b2345a
141d7b7193a
1512008dbb6
hexad27b620

2905060896 has 96 divisors (see below), whose sum is σ = 8482380480. Its totient is φ = 967292928.

The previous prime is 2905060859. The next prime is 2905060909. The reversal of 2905060896 is 6980605092.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1439280 + ... + 1441296.

It is an arithmetic number, because the mean of its divisors is an integer number (88358130).

Almost surely, 22905060896 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 2905060896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4241190240).

2905060896 is an abundant number, since it is smaller than the sum of its proper divisors (5577319584).

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

2905060896 is a wasteful number, since it uses less digits than its factorization.

2905060896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3703 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2905060896 is about 53898.6168282638. The cubic root of 2905060896 is about 1426.8722117258.

The spelling of 2905060896 in words is "two billion, nine hundred five million, sixty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1667 2017 3334 4034 5001 6051 6668 8068 10002 12102 13336 15003 16136 18153 20004 24204 26672 30006 32272 36306 40008 45009 48408 53344 54459 60012 64544 72612 80016 90018 96816 108918 120024 145224 160032 180036 193632 217836 240048 290448 360072 435672 480096 580896 720144 871344 1440288 1742688 3362339 6724678 10087017 13449356 20174034 26898712 30261051 40348068 53797424 60522102 80696136 90783153 107594848 121044204 161392272 181566306 242088408 322784544 363132612 484176816 726265224 968353632 1452530448 2905060896