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5795020 = 2257115371
BaseRepresentation
bin10110000110110011001100
3101220102021101
4112012303030
52440420040
6324112444
7100154050
oct26066314
911812241
105795020
1132a8980
121b35724
13127b90a
14aabc60
1579709a
hex586ccc

5795020 has 96 divisors (see below), whose sum is σ = 15676416. Its totient is φ = 1747200.

The previous prime is 5795017. The next prime is 5795021. The reversal of 5795020 is 205975.

5795020 = T1520 + T1521 + ... + T1524.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 5795020.

It is not an unprimeable number, because it can be changed into a prime (5795021) 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, 81585 + ... + 81655.

It is an arithmetic number, because the mean of its divisors is an integer number (163296).

Almost surely, 25795020 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 5795020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7838208).

5795020 is an abundant number, since it is smaller than the sum of its proper divisors (9881396).

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

5795020 is a wasteful number, since it uses less digits than its factorization.

5795020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 5795020 is about 2407.2847775035. The cubic root of 5795020 is about 179.6187403457.

It can be divided in two parts, 57950 and 20, that added together give a triangular number (57970 = T340).

The spelling of 5795020 in words is "five million, seven hundred ninety-five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 71 77 106 110 140 142 154 212 220 265 284 308 355 371 385 497 530 583 710 742 770 781 994 1060 1166 1420 1484 1540 1562 1855 1988 2332 2485 2915 3124 3710 3763 3905 4081 4970 5467 5830 7420 7526 7810 8162 9940 10934 11660 15052 15620 16324 18815 20405 21868 26341 27335 37630 40810 41393 52682 54670 75260 81620 82786 105364 109340 131705 165572 206965 263410 289751 413930 526820 579502 827860 1159004 1448755 2897510 5795020