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12053118 = 2372113727
BaseRepresentation
bin101101111110…
…101001111110
3211200100202210
4231332221332
511041144433
61110201250
7204310200
oct55765176
924610683
1012053118
116892760
124053226
13266022c
14185a770
1510d1463
hexb7ea7e

12053118 has 48 divisors (see below), whose sum is σ = 30599424. Its totient is φ = 3129840.

The previous prime is 12053117. The next prime is 12053131. The reversal of 12053118 is 81135021.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12053094 and 12053103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12053117) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1371 + ... + 5097.

It is an arithmetic number, because the mean of its divisors is an integer number (637488).

Almost surely, 212053118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12053118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15299712).

12053118 is an abundant number, since it is smaller than the sum of its proper divisors (18546306).

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

12053118 is a wasteful number, since it uses less digits than its factorization.

12053118 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3757 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 12053118 is about 3471.7600723552. The cubic root of 12053118 is about 229.2801564742.

Adding to 12053118 its reverse (81135021), we get a palindrome (93188139).

The spelling of 12053118 in words is "twelve million, fifty-three thousand, one hundred eighteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 147 154 231 294 462 539 1078 1617 3234 3727 7454 11181 22362 26089 40997 52178 78267 81994 122991 156534 182623 245982 286979 365246 547869 573958 860937 1095738 1721874 2008853 4017706 6026559 12053118