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13052760 = 2335741379
BaseRepresentation
bin110001110010…
…101101011000
3220120011000120
4301302231120
511320142020
61143433240
7215642460
oct61625530
926504016
1013052760
117405806
124455820
132920236
141a3aba0
15122c740
hexc72b58

13052760 has 128 divisors (see below), whose sum is σ = 45964800. Its totient is φ = 2903040.

The previous prime is 13052759. The next prime is 13052761. The reversal of 13052760 is 6725031.

13052760 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13052759) and next prime (13052761).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13052760.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052761) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34251 + ... + 34629.

It is an arithmetic number, because the mean of its divisors is an integer number (359100).

Almost surely, 213052760 is an apocalyptic number.

13052760 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 13052760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22982400).

13052760 is an abundant number, since it is smaller than the sum of its proper divisors (32912040).

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

13052760 is a wasteful number, since it uses less digits than its factorization.

13052760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 13052760 is about 3612.8603626490. The cubic root of 13052760 is about 235.4511327963.

Adding to 13052760 its reverse (6725031), we get a palindrome (19777791).

The spelling of 13052760 in words is "thirteen million, fifty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 41 42 56 60 70 82 84 105 120 123 140 164 168 205 210 246 280 287 328 379 410 420 492 574 615 758 820 840 861 984 1137 1148 1230 1435 1516 1640 1722 1895 2274 2296 2460 2653 2870 3032 3444 3790 4305 4548 4920 5306 5685 5740 6888 7580 7959 8610 9096 10612 11370 11480 13265 15160 15539 15918 17220 21224 22740 26530 31078 31836 34440 39795 45480 46617 53060 62156 63672 77695 79590 93234 106120 108773 124312 155390 159180 186468 217546 233085 310780 318360 326319 372936 435092 466170 543865 621560 652638 870184 932340 1087730 1305276 1631595 1864680 2175460 2610552 3263190 4350920 6526380 13052760