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2105422128 = 243225756891
BaseRepresentation
bin111110101111110…
…0011000100110000
312102201201112012100
41331133203010300
513302442002003
6544530300400
7103113535635
oct17537430460
95381645170
102105422128
11990501897
124a9127700
13277268b14
1415d89c18c
15c4c88ba3
hex7d7e3130

2105422128 has 60 divisors (see below), whose sum is σ = 5915288808. Its totient is φ = 699064320.

The previous prime is 2105422117. The next prime is 2105422141. The reversal of 2105422128 is 8212245012.

2105422128 is a `hidden beast` number, since 210 + 5 + 422 + 1 + 28 = 666.

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 11 ways as a sum of consecutive naturals, for example, 8563 + ... + 65453.

Almost surely, 22105422128 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 2105422128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957644404).

2105422128 is an abundant number, since it is smaller than the sum of its proper divisors (3809866680).

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

2105422128 is a wasteful number, since it uses less digits than its factorization.

2105422128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57162 (or 57153 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2105422128 is about 45884.8790779708. The cubic root of 2105422128 is about 1281.6803549518.

The spelling of 2105422128 in words is "two billion, one hundred five million, four hundred twenty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 257 514 771 1028 1542 2056 2313 3084 4112 4626 6168 9252 12336 18504 37008 56891 113782 170673 227564 341346 455128 512019 682692 910256 1024038 1365384 2048076 2730768 4096152 8192304 14620987 29241974 43862961 58483948 87725922 116967896 131588883 175451844 233935792 263177766 350903688 526355532 701807376 1052711064 2105422128