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5289840 = 243353179
BaseRepresentation
bin10100001011011101110000
3100221202022000
4110023131300
52323233330
6305214000
762651163
oct24133560
910852260
105289840
112a93376
121931300
1311329aa
149b9ada
156e7560
hex50b770

5289840 has 160 divisors (see below), whose sum is σ = 19046400. Its totient is φ = 1347840.

The previous prime is 5289833. The next prime is 5289841. The reversal of 5289840 is 489825.

5289840 is a `hidden beast` number, since 528 + 98 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5289795 and 5289804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5289841) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 66921 + ... + 66999.

It is an arithmetic number, because the mean of its divisors is an integer number (119040).

Almost surely, 25289840 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 5289840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9523200).

5289840 is an abundant number, since it is smaller than the sum of its proper divisors (13756560).

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

5289840 is a wasteful number, since it uses less digits than its factorization.

5289840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 5289840 is about 2299.9652171283. The cubic root of 5289840 is about 174.2398594509.

The spelling of 5289840 in words is "five million, two hundred eighty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 60 62 72 79 80 90 93 108 120 124 135 144 155 158 180 186 216 237 240 248 270 279 310 316 360 372 395 432 465 474 496 540 558 620 632 711 720 744 790 837 930 948 1080 1116 1185 1240 1264 1395 1422 1488 1580 1674 1860 1896 2133 2160 2232 2370 2449 2480 2790 2844 3160 3348 3555 3720 3792 4185 4266 4464 4740 4898 5580 5688 6320 6696 7110 7347 7440 8370 8532 9480 9796 10665 11160 11376 12245 13392 14220 14694 16740 17064 18960 19592 21330 22041 22320 24490 28440 29388 33480 34128 36735 39184 42660 44082 48980 56880 58776 66123 66960 73470 85320 88164 97960 110205 117552 132246 146940 170640 176328 195920 220410 264492 293880 330615 352656 440820 528984 587760 661230 881640 1057968 1322460 1763280 2644920 5289840