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13065570 = 2335731223
BaseRepresentation
bin110001110101…
…110101100010
3220120210121000
4301311311202
511321044240
61144012430
7216025020
oct61656542
926523530
1013065570
1174143a1
124461116
13292600b
141a41710
151231430
hexc75d62

13065570 has 128 divisors (see below), whose sum is σ = 41287680. Its totient is φ = 2877120.

The previous prime is 13065557. The next prime is 13065581. The reversal of 13065570 is 7556031.

13065570 is a `hidden beast` number, since 1 + 3 + 0 + 655 + 7 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

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 63 ways as a sum of consecutive naturals, for example, 58479 + ... + 58701.

It is an arithmetic number, because the mean of its divisors is an integer number (322560).

Almost surely, 213065570 is an apocalyptic number.

13065570 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13065570, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20643840).

13065570 is an abundant number, since it is smaller than the sum of its proper divisors (28222110).

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

13065570 is a wasteful number, since it uses less digits than its factorization.

13065570 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 13065570 is about 3614.6327614296. The cubic root of 13065570 is about 235.5281316550.

The spelling of 13065570 in words is "thirteen million, sixty-five thousand, five hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 31 35 42 45 54 62 63 70 90 93 105 126 135 155 186 189 210 217 223 270 279 310 315 378 434 446 465 558 630 651 669 837 930 945 1085 1115 1302 1338 1395 1561 1674 1890 1953 2007 2170 2230 2790 3122 3255 3345 3906 4014 4185 4683 5859 6021 6510 6690 6913 7805 8370 9366 9765 10035 11718 12042 13826 14049 15610 19530 20070 20739 23415 28098 29295 30105 34565 41478 42147 46830 48391 58590 60210 62217 69130 70245 84294 96782 103695 124434 140490 145173 186651 207390 210735 241955 290346 311085 373302 421470 435519 483910 622170 725865 871038 933255 1306557 1451730 1866510 2177595 2613114 4355190 6532785 13065570