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5306560 = 265723103
BaseRepresentation
bin10100001111100011000000
3100222121020021
4110033203000
52324302220
6305423224
763051010
oct24174300
910877207
105306560
112aa4996
12193ab14
13113a49c
149c1c40
156ec4aa
hex50f8c0

5306560 has 112 divisors (see below), whose sum is σ = 15215616. Its totient is φ = 1723392.

The previous prime is 5306531. The next prime is 5306569. The reversal of 5306560 is 656035.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5306569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51469 + ... + 51571.

Almost surely, 25306560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5306560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7607808).

5306560 is an abundant number, since it is smaller than the sum of its proper divisors (9909056).

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

5306560 is a wasteful number, since it uses less digits than its factorization.

5306560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

The square root of 5306560 is about 2303.5971870099. The cubic root of 5306560 is about 174.4232441033.

The spelling of 5306560 in words is "five million, three hundred six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 103 112 115 140 160 161 184 206 224 230 280 320 322 368 412 448 460 515 560 644 721 736 805 824 920 1030 1120 1288 1442 1472 1610 1648 1840 2060 2240 2369 2576 2884 3220 3296 3605 3680 4120 4738 5152 5768 6440 6592 7210 7360 8240 9476 10304 11536 11845 12880 14420 16480 16583 18952 23072 23690 25760 28840 32960 33166 37904 46144 47380 51520 57680 66332 75808 82915 94760 115360 132664 151616 165830 189520 230720 265328 331660 379040 530656 663320 758080 1061312 1326640 2653280 5306560