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5182560 = 253255961
BaseRepresentation
bin10011110001010001100000
3100202022010200
4103301101200
52311320220
6303025200
762023335
oct23612140
910668120
105182560
112a1a809
12189b200
1310c5c06
1498c98c
156c5890
hex4f1460

5182560 has 144 divisors (see below), whose sum is σ = 18280080. Its totient is φ = 1336320.

The previous prime is 5182543. The next prime is 5182571. The reversal of 5182560 is 652815.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84930 + ... + 84990.

It is an arithmetic number, because the mean of its divisors is an integer number (126945).

Almost surely, 25182560 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 5182560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9140040).

5182560 is an abundant number, since it is smaller than the sum of its proper divisors (13097520).

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

5182560 is a wasteful number, since it uses less digits than its factorization.

5182560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 5182560 is about 2276.5236655919. The cubic root of 5182560 is about 173.0539219576.

The spelling of 5182560 in words is "five million, one hundred eighty-two thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 59 60 61 72 80 90 96 118 120 122 144 160 177 180 183 236 240 244 288 295 305 354 360 366 472 480 488 531 549 590 610 708 720 732 885 915 944 976 1062 1098 1180 1220 1416 1440 1464 1770 1830 1888 1952 2124 2196 2360 2440 2655 2745 2832 2928 3540 3599 3660 4248 4392 4720 4880 5310 5490 5664 5856 7080 7198 7320 8496 8784 9440 9760 10620 10797 10980 14160 14396 14640 16992 17568 17995 21240 21594 21960 28320 28792 29280 32391 35990 42480 43188 43920 53985 57584 64782 71980 84960 86376 87840 107970 115168 129564 143960 161955 172752 215940 259128 287920 323910 345504 431880 518256 575840 647820 863760 1036512 1295640 1727520 2591280 5182560