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110809088 = 212132081
BaseRepresentation
bin1101001101011…
…01000000000000
321201111200111022
412212231000000
5211331342323
614555005012
72513601365
oct646550000
9251450438
10110809088
1157604565
1231139768
1319c59710
1410a0646c
159adc4c8
hex69ad000

110809088 has 52 divisors (see below), whose sum is σ = 238751268. Its totient is φ = 51118080.

The previous prime is 110809081. The next prime is 110809099. The reversal of 110809088 is 880908011.

It can be written as a sum of positive squares in 2 ways, for example, as 28217344 + 82591744 = 5312^2 + 9088^2 .

It is a tau number, because it is divible by the number of its divisors (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110809081) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 52208 + ... + 54288.

Almost surely, 2110809088 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 110809088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119375634).

110809088 is an abundant number, since it is smaller than the sum of its proper divisors (127942180).

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

110809088 is an equidigital number, since it uses as much as digits as its factorization.

110809088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2096 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 35.

The square root of 110809088 is about 10526.5895711764. The cubic root of 110809088 is about 480.3138687926.

The spelling of 110809088 in words is "one hundred ten million, eight hundred nine thousand, eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 256 416 512 832 1024 1664 2048 2081 3328 4096 4162 6656 8324 13312 16648 26624 27053 33296 53248 54106 66592 108212 133184 216424 266368 432848 532736 865696 1065472 1731392 2130944 3462784 4261888 6925568 8523776 13851136 27702272 55404544 110809088