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13008660 = 2235747659
BaseRepresentation
bin110001100111…
…111100010100
3220110220112020
4301213330110
511312234120
61142453140
7215400060
oct61477424
926426466
1013008660
117385665
1244341b0
132906142
141a28aa0
15121e640
hexc67f14

13008660 has 96 divisors (see below), whose sum is σ = 42577920. Its totient is φ = 2905728.

The previous prime is 13008659. The next prime is 13008679. The reversal of 13008660 is 6680031.

It is a self number, because there is not a number n which added to its sum of digits gives 13008660.

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 31 ways as a sum of consecutive naturals, for example, 19411 + ... + 20069.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 213008660 is an apocalyptic number.

13008660 is a gapful number since it is divisible by the number (10) 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 13008660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21288960).

13008660 is an abundant number, since it is smaller than the sum of its proper divisors (29569260).

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

13008660 is a wasteful number, since it uses less digits than its factorization.

13008660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 725 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 13008660 is about 3606.7520014550. The cubic root of 13008660 is about 235.1856688709.

Adding to 13008660 its reverse (6680031), we get a palindrome (19688691).

The spelling of 13008660 in words is "thirteen million, eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 659 705 940 987 1316 1318 1410 1645 1974 1977 2636 2820 3290 3295 3948 3954 4613 4935 6580 6590 7908 9226 9870 9885 13180 13839 18452 19740 19770 23065 27678 30973 39540 46130 55356 61946 69195 92260 92919 123892 138390 154865 185838 216811 276780 309730 371676 433622 464595 619460 650433 867244 929190 1084055 1300866 1858380 2168110 2601732 3252165 4336220 6504330 13008660