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20859930 = 2345713283
BaseRepresentation
bin100111110010…
…0110000011010
31110020210110000
41033210300122
520320004210
62023033430
7342210060
oct117446032
943223400
1020859930
1110858413
126b9b876
134424970
142ab0030
151c70ac0
hex13e4c1a

20859930 has 160 divisors (see below), whose sum is σ = 69277824. Its totient is φ = 4385664.

The previous prime is 20859893. The next prime is 20859953. The reversal of 20859930 is 3995802.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 73569 + ... + 73851.

Almost surely, 220859930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20859930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34638912).

20859930 is an abundant number, since it is smaller than the sum of its proper divisors (48417894).

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

20859930 is a wasteful number, since it uses less digits than its factorization.

20859930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 20859930 is about 4567.2672354483. The cubic root of 20859930 is about 275.2776479589.

The spelling of 20859930 in words is "twenty million, eight hundred fifty-nine thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 81 90 91 105 117 126 130 135 162 182 189 195 210 234 270 273 283 315 351 378 390 405 455 546 566 567 585 630 702 810 819 849 910 945 1053 1134 1170 1365 1415 1638 1698 1755 1890 1981 2106 2457 2547 2730 2830 2835 3510 3679 3962 4095 4245 4914 5094 5265 5670 5943 7358 7371 7641 8190 8490 9905 10530 11037 11886 12285 12735 14742 15282 17829 18395 19810 22074 22923 24570 25470 25753 29715 33111 35658 36790 36855 38205 45846 51506 53487 55185 59430 66222 73710 76410 77259 89145 99333 106974 110370 114615 128765 154518 160461 165555 178290 198666 229230 231777 257530 267435 297999 320922 331110 386295 463554 496665 534870 595998 695331 772590 802305 993330 1158885 1390662 1489995 1604610 2085993 2317770 2979990 3476655 4171986 6953310 10429965 20859930