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5328360 = 2332519241
BaseRepresentation
bin10100010100110111101000
3101000201010200
4110110313220
52331001420
6310112200
763201402
oct24246750
911021120
105328360
11300a304
12194b660
13114739b
149c9b72
15703b90
hex514de8

5328360 has 144 divisors (see below), whose sum is σ = 18722340. Its totient is φ = 1313280.

The previous prime is 5328359. The next prime is 5328391. The reversal of 5328360 is 638235.

It can be written as a sum of positive squares in 2 ways, for example, as 4691556 + 636804 = 2166^2 + 798^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129940 + ... + 129980.

Almost surely, 25328360 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 5328360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9361170).

5328360 is an abundant number, since it is smaller than the sum of its proper divisors (13393980).

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

5328360 is a wasteful number, since it uses less digits than its factorization.

5328360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5328360 is about 2308.3240673701. The cubic root of 5328360 is about 174.6617684723.

The spelling of 5328360 in words is "five million, three hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 41 45 57 60 72 76 82 90 95 114 120 123 152 164 171 180 190 205 228 246 285 328 342 360 361 369 380 410 456 492 570 615 684 722 738 760 779 820 855 984 1083 1140 1230 1368 1444 1476 1558 1640 1710 1805 1845 2166 2280 2337 2460 2888 2952 3116 3249 3420 3610 3690 3895 4332 4674 4920 5415 6232 6498 6840 7011 7220 7380 7790 8664 9348 10830 11685 12996 14022 14440 14760 14801 15580 16245 18696 21660 23370 25992 28044 29602 31160 32490 35055 43320 44403 46740 56088 59204 64980 70110 74005 88806 93480 118408 129960 133209 140220 148010 177612 222015 266418 280440 296020 355224 444030 532836 592040 666045 888060 1065672 1332090 1776120 2664180 5328360