Search a number
-
+
30330057560 = 235111573591223
BaseRepresentation
bin11100001111110011…
…111111001101011000
32220021202100120020012
4130033303333031120
5444103443320220
621533342221052
72122415143535
oct341763771530
986252316205
1030330057560
1111954588180
125a65584788
132b2488812a
14167a203d8c
15bc7ac3ac5
hex70fcff358

30330057560 has 128 divisors (see below), whose sum is σ = 75190809600. Its totient is φ = 10919400960.

The previous prime is 30330057559. The next prime is 30330057587. The reversal of 30330057560 is 6575003303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24799109 + ... + 24800331.

It is an arithmetic number, because the mean of its divisors is an integer number (587428200).

Almost surely, 230330057560 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 30330057560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37595404800).

30330057560 is an abundant number, since it is smaller than the sum of its proper divisors (44860752040).

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

30330057560 is a wasteful number, since it uses less digits than its factorization.

30330057560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1761 (or 1757 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 32.

The spelling of 30330057560 in words is "thirty billion, three hundred thirty million, fifty-seven thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 359 440 628 718 785 1223 1256 1436 1570 1727 1795 2446 2872 3140 3454 3590 3949 4892 6115 6280 6908 7180 7898 8635 9784 12230 13453 13816 14360 15796 17270 19745 24460 26906 31592 34540 39490 48920 53812 56363 67265 69080 78980 107624 112726 134530 157960 192011 225452 269060 281815 384022 439057 450904 538120 563630 619993 768044 878114 960055 1127260 1239986 1536088 1756228 1920110 2112121 2195285 2254520 2479972 3099965 3512456 3840220 4224242 4390570 4829627 4959944 6199930 7680440 8448484 8781140 9659254 10560605 12399860 16896968 17562280 19318508 21121210 24148135 24799720 38637016 42242420 48296270 68931949 84484840 96592540 137863898 193185080 275727796 344659745 551455592 689319490 758251439 1378638980 1516502878 2757277960 3033005756 3791257195 6066011512 7582514390 15165028780 30330057560