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2065430432 = 251341831459
BaseRepresentation
bin111101100011011…
…1111011110100000
312022221110201220102
41323012333132200
513212222233212
6540541201532
7102116604032
oct17306773640
95287421812
102065430432
1196a9774aa
124978602a8
1326bba5cb0
1415844bc52
15c14d95c2
hex7b1bf7a0

2065430432 has 96 divisors (see below), whose sum is σ = 4543076160. Its totient is φ = 918190080.

The previous prime is 2065430417. The next prime is 2065430441. The reversal of 2065430432 is 2340345602.

It is a super-3 number, since 3×20654304323 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2065430395 and 2065430404.

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 15 ways as a sum of consecutive naturals, for example, 1414919 + ... + 1416377.

It is an arithmetic number, because the mean of its divisors is an integer number (47323710).

Almost surely, 22065430432 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 2065430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2271538080).

2065430432 is an abundant number, since it is smaller than the sum of its proper divisors (2477645728).

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

2065430432 is a wasteful number, since it uses less digits than its factorization.

2065430432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1606 (or 1598 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 29.

The square root of 2065430432 is about 45447.0068541373. The cubic root of 2065430432 is about 1273.5134142819.

The spelling of 2065430432 in words is "two billion, sixty-five million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 82 83 104 164 166 208 328 332 416 533 656 664 1066 1079 1312 1328 1459 2132 2158 2656 2918 3403 4264 4316 5836 6806 8528 8632 11672 13612 17056 17264 18967 23344 27224 34528 37934 44239 46688 54448 59819 75868 88478 108896 119638 121097 151736 176956 239276 242194 303472 353912 478552 484388 606944 707824 777647 957104 968776 1415648 1555294 1574261 1914208 1937552 3110588 3148522 3875104 4964977 6221176 6297044 9929954 12442352 12594088 19859908 24884704 25188176 39719816 50376352 64544701 79439632 129089402 158879264 258178804 516357608 1032715216 2065430432