Search a number
-
+
30500532040 = 235111912772857
BaseRepresentation
bin11100011001111110…
…010010111101001000
32220201122010120020211
4130121332102331020
5444431114011130
622002312130504
72126555146636
oct343176227510
986648116224
1030500532040
1111a31834180
125ab2696a34
132b50ca53c4
141694adc356
15bd7a49a2a
hex719f92f48

30500532040 has 128 divisors (see below), whose sum is σ = 78894518400. Its totient is φ = 10495457280.

The previous prime is 30500532019. The next prime is 30500532121. The reversal of 30500532040 is 4023500503.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10674292 + ... + 10677148.

It is an arithmetic number, because the mean of its divisors is an integer number (616363425).

Almost surely, 230500532040 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 30500532040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39447259200).

30500532040 is an abundant number, since it is smaller than the sum of its proper divisors (48393986360).

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

30500532040 is a wasteful number, since it uses less digits than its factorization.

30500532040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4175 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 22.

The spelling of 30500532040 in words is "thirty billion, five hundred million, five hundred thirty-two thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 152 190 209 220 380 418 440 760 836 1045 1277 1672 2090 2554 2857 4180 5108 5714 6385 8360 10216 11428 12770 14047 14285 22856 24263 25540 28094 28570 31427 48526 51080 54283 56188 57140 62854 70235 97052 108566 112376 114280 121315 125708 140470 157135 194104 217132 242630 251416 266893 271415 280940 314270 434264 485260 533786 542830 561880 597113 628540 970520 1067572 1085660 1194226 1257080 1334465 2135144 2171320 2388452 2668930 2985565 3648389 4776904 5337860 5971130 7296778 10675720 11942260 14593556 18241945 23884520 29187112 36483890 40132279 69319391 72967780 80264558 138638782 145935560 160529116 200661395 277277564 321058232 346596955 401322790 554555128 693193910 762513301 802645580 1386387820 1525026602 1605291160 2772775640 3050053204 3812566505 6100106408 7625133010 15250266020 30500532040