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55105110 = 23657559
BaseRepresentation
bin1101001000110…
…1011001010110
310211200122000000
43102031121112
5103101330420
65245032130
71236246204
oct322153126
9124618000
1055105110
1129118315
1216555646
13b554c98
147466074
154c87690
hex348d656

55105110 has 56 divisors (see below), whose sum is σ = 148735440. Its totient is φ = 14692752.

The previous prime is 55105097. The next prime is 55105147. The reversal of 55105110 is 1150155.

55105110 is a `hidden beast` number, since 551 + 0 + 5 + 110 = 666.

55105110 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551051102 = 6073146296224200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3511 + ... + 11069.

It is an arithmetic number, because the mean of its divisors is an integer number (2655990).

Almost surely, 255105110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55105110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74367720).

55105110 is an abundant number, since it is smaller than the sum of its proper divisors (93630330).

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

55105110 is an equidigital number, since it uses as much as digits as its factorization.

55105110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7584 (or 7569 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The square root of 55105110 is about 7423.2816193379. The cubic root of 55105110 is about 380.5373515089.

Adding to 55105110 its reverse (1150155), we get a palindrome (56255265).

The spelling of 55105110 in words is "fifty-five million, one hundred five thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 729 810 1215 1458 2430 3645 7290 7559 15118 22677 37795 45354 68031 75590 113385 136062 204093 226770 340155 408186 612279 680310 1020465 1224558 1836837 2040930 3061395 3673674 5510511 6122790 9184185 11021022 18368370 27552555 55105110