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13065060 = 22354147113
BaseRepresentation
bin110001110101…
…101101100100
3220120202220010
4301311231210
511321040220
61144010220
7216023361
oct61655544
926522803
1013065060
117413a78
124460970
132925a08
141a41468
1512311e0
hexc75b64

13065060 has 96 divisors (see below), whose sum is σ = 38610432. Its totient is φ = 3297280.

The previous prime is 13065049. The next prime is 13065097. The reversal of 13065060 is 6056031.

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, 115564 + ... + 115676.

It is an arithmetic number, because the mean of its divisors is an integer number (402192).

Almost surely, 213065060 is an apocalyptic number.

13065060 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 13065060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19305216).

13065060 is an abundant number, since it is smaller than the sum of its proper divisors (25545372).

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

13065060 is a wasteful number, since it uses less digits than its factorization.

13065060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 13065060 is about 3614.5622141554. The cubic root of 13065060 is about 235.5250670889.

The spelling of 13065060 in words is "thirteen million, sixty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 47 60 82 94 113 123 141 164 188 205 226 235 246 282 339 410 452 470 492 564 565 615 678 705 820 940 1130 1230 1356 1410 1695 1927 2260 2460 2820 3390 3854 4633 5311 5781 6780 7708 9266 9635 10622 11562 13899 15933 18532 19270 21244 23124 23165 26555 27798 28905 31866 38540 46330 53110 55596 57810 63732 69495 79665 92660 106220 115620 138990 159330 217751 277980 318660 435502 653253 871004 1088755 1306506 2177510 2613012 3266265 4355020 6532530 13065060