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4235200680 = 23352310115193
BaseRepresentation
bin1111110001110000…
…0000100010101000
3101221011021111010110
43330130000202220
532133202410210
61540131014320
7206644416564
oct37434004250
911834244113
104235200680
111883729a57
129a243a3a0
13526581c09
142c269a6a4
1519bc34420
hexfc7008a8

4235200680 has 128 divisors (see below), whose sum is σ = 13390168320. Its totient is φ = 1069516800.

The previous prime is 4235200679. The next prime is 4235200721. The reversal of 4235200680 is 860025324.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 271164 + ... + 286356.

It is an arithmetic number, because the mean of its divisors is an integer number (104610690).

Almost surely, 24235200680 is an apocalyptic number.

4235200680 is a gapful number since it is divisible by the number (40) 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 4235200680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6695084160).

4235200680 is an abundant number, since it is smaller than the sum of its proper divisors (9154967640).

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

4235200680 is a wasteful number, since it uses less digits than its factorization.

4235200680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15331 (or 15327 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 4235200680 is about 65078.4194645199. The cubic root of 4235200680 is about 1617.9235551573.

The spelling of 4235200680 in words is "four billion, two hundred thirty-five million, two hundred thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 101 115 120 138 184 202 230 276 303 345 404 460 505 552 606 690 808 920 1010 1212 1380 1515 2020 2323 2424 2760 3030 4040 4646 6060 6969 9292 11615 12120 13938 15193 18584 23230 27876 30386 34845 45579 46460 55752 60772 69690 75965 91158 92920 121544 139380 151930 182316 227895 278760 303860 349439 364632 455790 607720 698878 911580 1048317 1397756 1534493 1747195 1823160 2096634 2795512 3068986 3494390 4193268 4603479 5241585 6137972 6988780 7672465 8386536 9206958 10483170 12275944 13977560 15344930 18413916 20966340 23017395 30689860 35293339 36827832 41932680 46034790 61379720 70586678 92069580 105880017 141173356 176466695 184139160 211760034 282346712 352933390 423520068 529400085 705866780 847040136 1058800170 1411733560 2117600340 4235200680