Search a number
-
+
20404505430 = 23252310699221
BaseRepresentation
bin10011000000001101…
…000000101101010110
31221200000200021101100
4103000031000231112
5313242023133210
613212415210530
71321433302011
oct230015005526
957600607340
1020404505430
1187208a1a31
123b55516a46
131c02435b6a
14db7d00378
157e651e5c0
hex4c0340b56

20404505430 has 96 divisors (see below), whose sum is σ = 55416104640. Its totient is φ = 5199194880.

The previous prime is 20404505423. The next prime is 20404505437. The reversal of 20404505430 is 3450540402.

20404505430 is a `hidden beast` number, since 204 + 0 + 450 + 5 + 4 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (20404505423) and next prime (20404505437).

It is a junction number, because it is equal to n+sod(n) for n = 20404505394 and 20404505403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20404505437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2208220 + ... + 2217440.

It is an arithmetic number, because the mean of its divisors is an integer number (577251090).

Almost surely, 220404505430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20404505430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27708052320).

20404505430 is an abundant number, since it is smaller than the sum of its proper divisors (35011599210).

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

20404505430 is a wasteful number, since it uses less digits than its factorization.

20404505430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326 (or 10323 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The spelling of 20404505430 in words is "twenty billion, four hundred four million, five hundred five thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 23 30 45 46 69 90 115 138 207 230 345 414 690 1035 1069 2070 2138 3207 5345 6414 9221 9621 10690 16035 18442 19242 24587 27663 32070 46105 48105 49174 55326 73761 82989 92210 96210 122935 138315 147522 165978 212083 221283 245870 276630 368805 414945 424166 442566 636249 737610 829890 1060415 1106415 1272498 1908747 2120830 2212830 3181245 3817494 6362490 9543735 9857249 19087470 19714498 29571747 49286245 59143494 88715241 98572490 147858735 177430482 226716727 295717470 443576205 453433454 680150181 887152410 1133583635 1360300362 2040450543 2267167270 3400750905 4080901086 6801501810 10202252715 20404505430