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5802030 = 2345131929
BaseRepresentation
bin10110001000100000101110
3101220202220000
4112020200232
52441131110
6324205130
7100213353
oct26104056
911822800
105802030
113303173
121b397a6
131281b70
14ab062a
157991c0
hex58882e

5802030 has 160 divisors (see below), whose sum is σ = 18295200. Its totient is φ = 1306368.

The previous prime is 5802023. The next prime is 5802037. The reversal of 5802030 is 302085.

It is an interprime number because it is at equal distance from previous prime (5802023) and next prime (5802037).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5801994 and 5802012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5802037) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 200056 + ... + 200084.

It is an arithmetic number, because the mean of its divisors is an integer number (114345).

Almost surely, 25802030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5802030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9147600).

5802030 is an abundant number, since it is smaller than the sum of its proper divisors (12493170).

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

5802030 is a wasteful number, since it uses less digits than its factorization.

5802030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5802030 is about 2408.7403346978. The cubic root of 5802030 is about 179.6911369900.

Subtracting from 5802030 its reverse (302085), we obtain a palindrome (5499945).

The spelling of 5802030 in words is "five million, eight hundred two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 19 26 27 29 30 38 39 45 54 57 58 65 78 81 87 90 95 114 117 130 135 145 162 171 174 190 195 234 247 261 270 285 290 342 351 377 390 405 435 494 513 522 551 570 585 702 741 754 783 810 855 870 1026 1053 1102 1131 1170 1235 1305 1482 1539 1566 1653 1710 1755 1885 2106 2223 2262 2349 2470 2565 2610 2755 3078 3306 3393 3510 3705 3770 3915 4446 4698 4959 5130 5265 5510 5655 6669 6786 7163 7410 7695 7830 8265 9918 10179 10530 11115 11310 11745 13338 14326 14877 15390 16530 16965 20007 20358 21489 22230 23490 24795 29754 30537 33345 33930 35815 40014 42978 44631 49590 50895 61074 64467 66690 71630 74385 89262 100035 101790 107445 128934 148770 152685 193401 200070 214890 223155 305370 322335 386802 446310 580203 644670 967005 1160406 1934010 2901015 5802030