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5790540 = 2235717811
BaseRepresentation
bin10110000101101101001100
3101220012010110
4112011231030
52440244130
6324040020
7100135020
oct26055514
911805113
105790540
1132a5578
121b33010
131279872
14aaa380
15795ab0
hex585b4c

5790540 has 96 divisors (see below), whose sum is σ = 19643904. Its totient is φ = 1244160.

The previous prime is 5790539. The next prime is 5790563. The reversal of 5790540 is 450975.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5790498 and 5790507.

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 31 ways as a sum of consecutive naturals, for example, 6735 + ... + 7545.

It is an arithmetic number, because the mean of its divisors is an integer number (204624).

Almost surely, 25790540 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 5790540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9821952).

5790540 is an abundant number, since it is smaller than the sum of its proper divisors (13853364).

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

5790540 is a wasteful number, since it uses less digits than its factorization.

5790540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 5790540 is about 2406.3540886578. The cubic root of 5790540 is about 179.5724420063.

The spelling of 5790540 in words is "five million, seven hundred ninety thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 811 1020 1190 1428 1622 1785 2380 2433 3244 3570 4055 4866 5677 7140 8110 9732 11354 12165 13787 16220 17031 22708 24330 27574 28385 34062 41361 48660 55148 56770 68124 68935 82722 85155 96509 113540 137870 165444 170310 193018 206805 275740 289527 340620 386036 413610 482545 579054 827220 965090 1158108 1447635 1930180 2895270 5790540