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11105052 = 2237731811
BaseRepresentation
bin101010010111…
…001100011100
3202220012021020
4222113030130
510320330202
61034004140
7163251150
oct52271434
922805236
1011105052
1162a5432
123876650
1323ba84a
141691060
15e955bc
hexa9731c

11105052 has 48 divisors (see below), whose sum is σ = 30035712. Its totient is φ = 3127680.

The previous prime is 11105047. The next prime is 11105071. The reversal of 11105052 is 25050111.

11105052 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5227 + ... + 7037.

It is an arithmetic number, because the mean of its divisors is an integer number (625744).

Almost surely, 211105052 is an apocalyptic number.

11105052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11105052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15017856).

11105052 is an abundant number, since it is smaller than the sum of its proper divisors (18930660).

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

11105052 is a wasteful number, since it uses less digits than its factorization.

11105052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 50, while the sum is 15.

The square root of 11105052 is about 3332.4243427271. The cubic root of 11105052 is about 223.1037476325.

Adding to 11105052 its reverse (25050111), we get a palindrome (36155163).

The spelling of 11105052 in words is "eleven million, one hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 292 438 511 876 1022 1533 1811 2044 3066 3622 5433 6132 7244 10866 12677 21732 25354 38031 50708 76062 132203 152124 264406 396609 528812 793218 925421 1586436 1850842 2776263 3701684 5552526 11105052