Search a number
-
+
30702917120 = 295232917981
BaseRepresentation
bin11100100110000010…
…010101011000000000
32221020201221210101112
4130212002111120000
51000334421321440
622034342022452
72134563326621
oct344602253000
987221853345
1030702917120
1112025aa6077
125b4a417a28
132b83bb61a5
1416b3941a48
15bea6c5965
hex726095600

30702917120 has 160 divisors (see below), whose sum is σ = 79468931520. Its totient is φ = 11341496320.

The previous prime is 30702917071. The next prime is 30702917153. The reversal of 30702917120 is 2171920703.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1698530 + ... + 1716510.

It is an arithmetic number, because the mean of its divisors is an integer number (496680822).

Almost surely, 230702917120 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 30702917120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39734465760).

30702917120 is an abundant number, since it is smaller than the sum of its proper divisors (48766014400).

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

30702917120 is a wasteful number, since it uses less digits than its factorization.

30702917120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18056 (or 18040 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 32.

The spelling of 30702917120 in words is "thirty billion, seven hundred two million, nine hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 29 32 40 46 58 64 80 92 115 116 128 145 160 184 230 232 256 290 320 368 460 464 512 580 640 667 736 920 928 1160 1280 1334 1472 1840 1856 2320 2560 2668 2944 3335 3680 3712 4640 5336 5888 6670 7360 7424 9280 10672 11776 13340 14720 14848 17981 18560 21344 26680 29440 35962 37120 42688 53360 58880 71924 74240 85376 89905 106720 143848 170752 179810 213440 287696 341504 359620 413563 426880 521449 575392 719240 827126 853760 1042898 1150784 1438480 1654252 1707520 2067815 2085796 2301568 2607245 2876960 3308504 4135630 4171592 4603136 5214490 5753920 6617008 8271260 8343184 9206272 10428980 11507840 11993327 13234016 16542520 16686368 20857960 23015680 23986654 26468032 33085040 33372736 41715920 46031360 47973308 52936064 59966635 66170080 66745472 83431840 95946616 105872128 119933270 132340160 133490944 166863680 191893232 211744256 239866540 264680320 266981888 333727360 383786464 479733080 529360640 667454720 767572928 959466160 1058721280 1334909440 1535145856 1918932320 3070291712 3837864640 6140583424 7675729280 15351458560 30702917120