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20430404320 = 2551033793271
BaseRepresentation
bin10011000001101111…
…110011101011100000
31221201211102001222111
4103001233303223200
5313320140414240
613215142245104
71322166366664
oct230157635340
957654361874
1020430404320
118734481177
123b62126794
131c07903251
14dbb5228a4
157e89381ea
hex4c1bf3ae0

20430404320 has 96 divisors (see below), whose sum is σ = 48878968320. Its totient is φ = 8068999680.

The previous prime is 20430404299. The next prime is 20430404333. The reversal of 20430404320 is 2340403402.

It is a junction number, because it is equal to n+sod(n) for n = 20430404291 and 20430404300.

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, 6244285 + ... + 6247555.

It is an arithmetic number, because the mean of its divisors is an integer number (509155920).

Almost surely, 220430404320 is an apocalyptic number.

20430404320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20430404320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24439484160).

20430404320 is an abundant number, since it is smaller than the sum of its proper divisors (28448564000).

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

20430404320 is a wasteful number, since it uses less digits than its factorization.

20430404320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3768 (or 3760 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 20430404320 its reverse (2340403402), we get a palindrome (22770807722).

The spelling of 20430404320 in words is "twenty billion, four hundred thirty million, four hundred four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 103 160 206 379 412 515 758 824 1030 1516 1648 1895 2060 3032 3271 3296 3790 4120 6064 6542 7580 8240 12128 13084 15160 16355 16480 26168 30320 32710 39037 52336 60640 65420 78074 104672 130840 156148 195185 261680 312296 336913 390370 523360 624592 673826 780740 1239709 1249184 1347652 1561480 1684565 2479418 2695304 3122960 3369130 4958836 5390608 6198545 6245920 6738260 9917672 10781216 12397090 13476520 19835344 24794180 26953040 39670688 49588360 53906080 99176720 127690027 198353440 255380054 510760108 638450135 1021520216 1276900270 2043040432 2553800540 4086080864 5107601080 10215202160 20430404320