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2079610080 = 25354332521
BaseRepresentation
bin111101111110100…
…0101010011100000
312100221011010201120
41323331011103200
513224340010310
6542205132240
7102351252102
oct17375052340
95327133646
102079610080
11977981919
124a055a080
13271acc112
1415a29d572
15c288ab70
hex7bf454e0

2079610080 has 48 divisors (see below), whose sum is σ = 6550773264. Its totient is φ = 554562560.

The previous prime is 2079610061. The next prime is 2079610103. The reversal of 2079610080 is 800169702.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 2165781 + ... + 2166740.

It is an arithmetic number, because the mean of its divisors is an integer number (136474443).

Almost surely, 22079610080 is an apocalyptic number.

2079610080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2079610080 is an abundant number, since it is smaller than the sum of its proper divisors (4471163184).

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

2079610080 is a wasteful number, since it uses less digits than its factorization.

2079610080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332539 (or 4332531 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2079610080 is about 45602.7420228214. The cubic root of 2079610080 is about 1276.4210898488.

Adding to 2079610080 its reverse (800169702), we get a palindrome (2879779782).

It can be divided in two parts, 20796 and 10080, that added together give a triangular number (30876 = T248).

The spelling of 2079610080 in words is "two billion, seventy-nine million, six hundred ten thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 4332521 8665042 12997563 17330084 21662605 25995126 34660168 43325210 51990252 64987815 69320336 86650420 103980504 129975630 138640672 173300840 207961008 259951260 346601680 415922016 519902520 693203360 1039805040 2079610080