Search a number
-
+
730128960 = 2632511191213
BaseRepresentation
bin101011100001001…
…110001001000000
31212212212101122100
4223201032021000
52443403111320
6200241110400
724043664601
oct5341161100
91785771570
10730128960
11345158770
12184628400
13b835ac92
146cd7bda8
1544174790
hex2b84e240

730128960 has 336 divisors, whose sum is σ = 2886212160. Its totient is φ = 167546880.

The previous prime is 730128913. The next prime is 730128961. The reversal of 730128960 is 69821037.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (730128961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 601314 + ... + 602526.

Almost surely, 2730128960 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 730128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443106080).

730128960 is an abundant number, since it is smaller than the sum of its proper divisors (2156083200).

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

730128960 is a wasteful number, since it uses less digits than its factorization.

730128960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266 (or 1253 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 730128960 is about 27020.8985786928. The cubic root of 730128960 is about 900.4643529695.

Adding to 730128960 its reverse (69821037), we get a palindrome (799949997).

The spelling of 730128960 in words is "seven hundred thirty million, one hundred twenty-eight thousand, nine hundred sixty".