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4361630240 = 2551122311113
BaseRepresentation
bin1000000111111100…
…10011001000100000
3102020222011202212202
410003332103020200
532413034131430
62000444512332
7213041150102
oct40376231040
912228152782
104361630240
1119390323a0
12a1884b6a8
1354681a4c6
142d53ab572
151a7da9d45
hex103f93220

4361630240 has 96 divisors (see below), whose sum is σ = 11292535296. Its totient is φ = 1578792960.

The previous prime is 4361630201. The next prime is 4361630267. The reversal of 4361630240 is 420361634.

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 15 ways as a sum of consecutive naturals, for example, 386924 + ... + 398036.

It is an arithmetic number, because the mean of its divisors is an integer number (117630576).

Almost surely, 24361630240 is an apocalyptic number.

4361630240 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 4361630240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646267648).

4361630240 is an abundant number, since it is smaller than the sum of its proper divisors (6930905056).

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

4361630240 is a wasteful number, since it uses less digits than its factorization.

4361630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11362 (or 11354 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

The square root of 4361630240 is about 66042.6395596057. The cubic root of 4361630240 is about 1633.8654219047.

Adding to 4361630240 its reverse (420361634), we get a palindrome (4781991874).

The spelling of 4361630240 in words is "four billion, three hundred sixty-one million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 223 352 440 446 880 892 1115 1760 1784 2230 2453 3568 4460 4906 7136 8920 9812 11113 12265 17840 19624 22226 24530 35680 39248 44452 49060 55565 78496 88904 98120 111130 122243 177808 196240 222260 244486 355616 392480 444520 488972 611215 889040 977944 1222430 1778080 1955888 2444860 2478199 3911776 4889720 4956398 9779440 9912796 12390995 19558880 19825592 24781990 27260189 39651184 49563980 54520378 79302368 99127960 109040756 136300945 198255920 218081512 272601890 396511840 436163024 545203780 872326048 1090407560 2180815120 4361630240