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13124144 = 241126779
BaseRepresentation
bin110010000100…
…001000110000
3220200202221102
4302010020300
511324433034
61145143532
7216360545
oct62041060
926622842
1013124144
117454400
12448aba8
132946887
141a58bcc
15124397e
hexc84230

13124144 has 30 divisors (see below), whose sum is σ = 27953940. Its totient is φ = 5964640.

The previous prime is 13124143. The next prime is 13124147. The reversal of 13124144 is 44142131.

It is a super-3 number, since 3×131241443 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (13124143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1454 + ... + 5325.

It is an arithmetic number, because the mean of its divisors is an integer number (931798).

Almost surely, 213124144 is an apocalyptic number.

It is an amenable number.

13124144 is an abundant number, since it is smaller than the sum of its proper divisors (14829796).

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

13124144 is a wasteful number, since it uses less digits than its factorization.

13124144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6809 (or 6792 counting only the distinct ones).

The product of its digits is 384, while the sum is 20.

The square root of 13124144 is about 3622.7260453973. The cubic root of 13124144 is about 235.8795708459.

Adding to 13124144 its reverse (44142131), we get a palindrome (57266275).

The spelling of 13124144 in words is "thirteen million, one hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 6779 13558 27116 54232 74569 108464 149138 298276 596552 820259 1193104 1640518 3281036 6562072 13124144