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832530240 = 26325467619
BaseRepresentation
bin110001100111110…
…110011101000000
32011000112220210100
4301213312131000
53201111431430
6214340002400
726426250603
oct6147663500
92130486710
10832530240
11397a3a323
121b2990400
13103632759
147c7d633a
154d150960
hex319f6740

832530240 has 168 divisors, whose sum is σ = 2874324960. Its totient is φ = 221174784.

The previous prime is 832530197. The next prime is 832530247. The reversal of 832530240 is 42035238.

832530240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (832530247) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1344651 + ... + 1345269.

Almost surely, 2832530240 is an apocalyptic number.

832530240 is a gapful number since it is divisible by the number (80) 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 832530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437162480).

832530240 is an abundant number, since it is smaller than the sum of its proper divisors (2041794720).

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

832530240 is a wasteful number, since it uses less digits than its factorization.

832530240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 832530240 is about 28853.6001219952. The cubic root of 832530240 is about 940.7336358158.

Adding to 832530240 its reverse (42035238), we get a palindrome (874565478).

The spelling of 832530240 in words is "eight hundred thirty-two million, five hundred thirty thousand, two hundred forty".