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5486040 = 2332572311
BaseRepresentation
bin10100111011010111011000
3101022201102200
4110323113120
52401023130
6313330200
764426200
oct24732730
911281380
105486040
11310781a
121a06960
1311a10a1
14a2b400
15735760
hex53b5d8

5486040 has 144 divisors (see below), whose sum is σ = 20807280. Its totient is φ = 1249920.

The previous prime is 5486021. The next prime is 5486057. The reversal of 5486040 is 406845.

5486040 is a `hidden beast` number, since 54 + 8 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5485995 and 5486013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17485 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

Almost surely, 25486040 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 5486040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10403640).

5486040 is an abundant number, since it is smaller than the sum of its proper divisors (15321240).

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

5486040 is a wasteful number, since it uses less digits than its factorization.

5486040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 5486040 is about 2342.2297069246. The cubic root of 5486040 is about 176.3679458008.

The spelling of 5486040 in words is "five million, four hundred eighty-six thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 311 315 360 392 420 441 490 504 588 622 630 735 840 882 933 980 1176 1244 1260 1470 1555 1764 1866 1960 2177 2205 2488 2520 2799 2940 3110 3528 3732 4354 4410 4665 5598 5880 6220 6531 7464 8708 8820 9330 10885 11196 12440 13062 13995 15239 17416 17640 18660 19593 21770 22392 26124 27990 30478 32655 37320 39186 43540 45717 52248 55980 60956 65310 76195 78372 87080 91434 97965 111960 121912 130620 137151 152390 156744 182868 195930 228585 261240 274302 304780 365736 391860 457170 548604 609560 685755 783720 914340 1097208 1371510 1828680 2743020 5486040