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730512640 = 28511132307
BaseRepresentation
bin101011100010101…
…011110100000000
31212220120212221201
4223202223310000
52444002401030
6200253230544
724050153314
oct5342536400
91786525851
10730512640
1134539aa60
12184792454
13b8463800
146d03bb44
15441ed2ca
hex2b8abd00

730512640 has 216 divisors, whose sum is σ = 2073744288. Its totient is φ = 244408320.

The previous prime is 730512619. The next prime is 730512641. The reversal of 730512640 is 46215037.

It is a junction number, because it is equal to n+sod(n) for n = 730512599 and 730512608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (730512641) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2379367 + ... + 2379673.

It is an arithmetic number, because the mean of its divisors is an integer number (9600668).

Almost surely, 2730512640 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 730512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1036872144).

730512640 is an abundant number, since it is smaller than the sum of its proper divisors (1343231648).

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

730512640 is a wasteful number, since it uses less digits than its factorization.

730512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 730512640 is about 27027.9973360958. The cubic root of 730512640 is about 900.6220555498.

Adding to 730512640 its reverse (46215037), we get a palindrome (776727677).

The spelling of 730512640 in words is "seven hundred thirty million, five hundred twelve thousand, six hundred forty".