Search a number
-
+
7132332000 = 253531493989
BaseRepresentation
bin1101010010001111…
…01011111111100000
3200102001202000011110
412221013223333200
5104101334111000
63135422343320
7341513551563
oct65107537740
920361660143
107132332000
113030019662
12147072ab40
13898859cc1
144b93664da
152bb258850
hex1a91ebfe0

7132332000 has 192 divisors, whose sum is σ = 23528232000. Its totient is φ = 1888716800.

The previous prime is 7132331981. The next prime is 7132332001. The reversal of 7132332000 is 2332317.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7132332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1786006 + ... + 1789994.

It is an arithmetic number, because the mean of its divisors is an integer number (122542875).

Almost surely, 27132332000 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 7132332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11764116000).

7132332000 is an abundant number, since it is smaller than the sum of its proper divisors (16395900000).

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

7132332000 is a wasteful number, since it uses less digits than its factorization.

7132332000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166 (or 4148 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

The square root of 7132332000 is about 84453.1349329319. The cubic root of 7132332000 is about 1924.9103910612.

Adding to 7132332000 its reverse (2332317), we get a palindrome (7134664317).

The spelling of 7132332000 in words is "seven billion, one hundred thirty-two million, three hundred thirty-two thousand".