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20433005340 = 223511131236329
BaseRepresentation
bin10011000001111001…
…101110101100011100
31221202000022012220120
4103001321232230130
5313321322132330
613215314114540
71322230452066
oct230171565434
957660265816
1020433005340
118735998380
123b62b7ba50
131c08304107
14dbb9dc736
157e8c9dc10
hex4c1e6eb1c

20433005340 has 96 divisors (see below), whose sum is σ = 62890248960. Its totient is φ = 4915622400.

The previous prime is 20433005311. The next prime is 20433005357. The reversal of 20433005340 is 4350033402.

It is a self number, because there is not a number n which added to its sum of digits gives 20433005340.

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, 31705 + ... + 204624.

It is an arithmetic number, because the mean of its divisors is an integer number (655106760).

Almost surely, 220433005340 is an apocalyptic number.

20433005340 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 20433005340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31445124480).

20433005340 is an abundant number, since it is smaller than the sum of its proper divisors (42457243620).

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

20433005340 is a wasteful number, since it uses less digits than its factorization.

20433005340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236483 (or 236481 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 24.

Adding to 20433005340 its reverse (4350033402), we get a palindrome (24783038742).

The spelling of 20433005340 in words is "twenty billion, four hundred thirty-three million, five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 131 132 165 220 262 330 393 524 655 660 786 1310 1441 1572 1965 2620 2882 3930 4323 5764 7205 7860 8646 14410 17292 21615 28820 43230 86460 236329 472658 708987 945316 1181645 1417974 2363290 2599619 2835948 3544935 4726580 5199238 7089870 7798857 10398476 12998095 14179740 15597714 25996190 30959099 31195428 38994285 51992380 61918198 77988570 92877297 123836396 154795495 155977140 185754594 309590990 340550089 371509188 464386485 619181980 681100178 928772970 1021650267 1362200356 1702750445 1857545940 2043300534 3405500890 4086601068 5108251335 6811001780 10216502670 20433005340