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5830020 = 2232572661
BaseRepresentation
bin10110001111010110000100
3101222012021200
4112033112010
52443030040
6324542500
7100361100
oct26172604
911865250
105830020
1133221a9
121b51a30
131291821
14aba900
157a2630
hex58f584

5830020 has 108 divisors (see below), whose sum is σ = 20602764. Its totient is φ = 1330560.

The previous prime is 5830007. The next prime is 5830039. The reversal of 5830020 is 200385.

It can be written as a sum of positive squares in 2 ways, for example, as 3415104 + 2414916 = 1848^2 + 1554^2 .

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 = 5829975 and 5830002.

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 35 ways as a sum of consecutive naturals, for example, 8490 + ... + 9150.

Almost surely, 25830020 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 5830020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10301382).

5830020 is an abundant number, since it is smaller than the sum of its proper divisors (14772744).

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

5830020 is a wasteful number, since it uses less digits than its factorization.

5830020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 678 counting only the distinct ones).

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

The square root of 5830020 is about 2414.5434351032. The cubic root of 5830020 is about 179.9796273239.

The spelling of 5830020 in words is "five million, eight hundred thirty thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 661 735 882 980 1260 1322 1470 1764 1983 2205 2644 2940 3305 3966 4410 4627 5949 6610 7932 8820 9254 9915 11898 13220 13881 18508 19830 23135 23796 27762 29745 32389 39660 41643 46270 55524 59490 64778 69405 83286 92540 97167 118980 129556 138810 161945 166572 194334 208215 277620 291501 323890 388668 416430 485835 583002 647780 832860 971670 1166004 1457505 1943340 2915010 5830020