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13144005 = 335721987
BaseRepresentation
bin110010001000…
…111111000101
3220201210012000
4302020333011
511331102010
61145415513
7216502500
oct62107705
926653160
1013144005
117468316
12449a599
132952924
141a62137
1512497c0
hexc88fc5

13144005 has 48 divisors (see below), whose sum is σ = 27195840. Its totient is φ = 6005664.

The previous prime is 13143997. The next prime is 13144007. The reversal of 13144005 is 50044131.

It is a happy number.

13144005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13144005 - 23 = 13143997 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5622 + ... + 7608.

It is an arithmetic number, because the mean of its divisors is an integer number (566580).

Almost surely, 213144005 is an apocalyptic number.

13144005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13144005 is an abundant number, since it is smaller than the sum of its proper divisors (14051835).

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

13144005 is a wasteful number, since it uses less digits than its factorization.

13144005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2015 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13144005 is about 3625.4661769213. The cubic root of 13144005 is about 235.9984977880.

Adding to 13144005 its reverse (50044131), we get a palindrome (63188136).

The spelling of 13144005 in words is "thirteen million, one hundred forty-four thousand, five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1323 1987 2205 5961 6615 9935 13909 17883 29805 41727 53649 69545 89415 97363 125181 208635 268245 292089 375543 486815 625905 876267 1460445 1877715 2628801 4381335 13144005