Search a number
-
+
9399589920 = 25355734537
BaseRepresentation
bin10001100000100001…
…00101110000100000
3220021001222122100000
420300100211300200
5123222243334140
64152413500000
7451634124150
oct106020456040
926231878300
109399589920
113a93907036
1219a3aa1600
13b6a4aa036
14652510760
153a030da30
hex230425c20

9399589920 has 288 divisors, whose sum is σ = 38017219968. Its totient is φ = 2148415488.

The previous prime is 9399589907. The next prime is 9399589943. The reversal of 9399589920 is 299859939.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254892 + ... + 289428.

It is an arithmetic number, because the mean of its divisors is an integer number (132004236).

Almost surely, 29399589920 is an apocalyptic number.

9399589920 is a gapful number since it is divisible by the number (90) 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 9399589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19008609984).

9399589920 is an abundant number, since it is smaller than the sum of its proper divisors (28617630048).

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

9399589920 is a wasteful number, since it uses less digits than its factorization.

9399589920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34574 (or 34554 counting only the distinct ones).

The product of its (nonzero) digits is 14171760, while the sum is 63.

The square root of 9399589920 is about 96951.4822991376. The cubic root of 9399589920 is about 2110.4236041468.

The spelling of 9399589920 in words is "nine billion, three hundred ninety-nine million, five hundred eighty-nine thousand, nine hundred twenty".