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1095882112 = 27134116063
BaseRepresentation
bin100000101010001…
…1101010110000000
32211101002120122101
41001110131112000
54221021211422
6300424320144
736104562403
oct10124352600
92741076571
101095882112
115126624a6
12267013054
1314606b570
14a5789d3a
1566320c27
hex4151d580

1095882112 has 64 divisors (see below), whose sum is σ = 2408636160. Its totient is φ = 493424640.

The previous prime is 1095882103. The next prime is 1095882119. The reversal of 1095882112 is 2112885901.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1095882119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60193 + ... + 76255.

It is an arithmetic number, because the mean of its divisors is an integer number (37634940).

Almost surely, 21095882112 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 1095882112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204318080).

1095882112 is an abundant number, since it is smaller than the sum of its proper divisors (1312754048).

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

1095882112 is a wasteful number, since it uses less digits than its factorization.

1095882112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16131 (or 16119 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The square root of 1095882112 is about 33104.1101979799. The cubic root of 1095882112 is about 1030.9903793001.

The spelling of 1095882112 in words is "one billion, ninety-five million, eight hundred eighty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 164 208 328 416 533 656 832 1066 1312 1664 2132 2624 4264 5248 8528 16063 17056 32126 34112 64252 68224 128504 208819 257008 417638 514016 658583 835276 1028032 1317166 1670552 2056064 2634332 3341104 5268664 6682208 8561579 10537328 13364416 17123158 21074656 26728832 34246316 42149312 68492632 84298624 136985264 273970528 547941056 1095882112