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5308160 = 285111329
BaseRepresentation
bin10100001111111100000000
3100222200102112
4110033330000
52324330120
6305434452
763055454
oct24177400
910880375
105308160
112aa6110
12193ba28
13113b130
149c2664
156ecbc5
hex50ff00

5308160 has 144 divisors (see below), whose sum is σ = 15452640. Its totient is φ = 1720320.

The previous prime is 5308157. The next prime is 5308169. The reversal of 5308160 is 618035.

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5308169) 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, 183026 + ... + 183054.

It is an arithmetic number, because the mean of its divisors is an integer number (107310).

Almost surely, 25308160 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 5308160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7726320).

5308160 is an abundant number, since it is smaller than the sum of its proper divisors (10144480).

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

5308160 is a wasteful number, since it uses less digits than its factorization.

5308160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5308160 is about 2303.9444437746. The cubic root of 5308160 is about 174.4407726684.

The spelling of 5308160 in words is "five million, three hundred eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 29 32 40 44 52 55 58 64 65 80 88 104 110 116 128 130 143 145 160 176 208 220 232 256 260 286 290 319 320 352 377 416 440 464 520 572 580 638 640 704 715 754 832 880 928 1040 1144 1160 1276 1280 1408 1430 1508 1595 1664 1760 1856 1885 2080 2288 2320 2552 2816 2860 3016 3190 3328 3520 3712 3770 4147 4160 4576 4640 5104 5720 6032 6380 7040 7424 7540 8294 8320 9152 9280 10208 11440 12064 12760 14080 15080 16588 16640 18304 18560 20416 20735 22880 24128 25520 30160 33176 36608 37120 40832 41470 45760 48256 51040 60320 66352 81664 82940 91520 96512 102080 120640 132704 165880 183040 204160 241280 265408 331760 408320 482560 530816 663520 1061632 1327040 2654080 5308160