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6325423920 = 2433517210133
BaseRepresentation
bin1011110010000011…
…00100111100110000
3121022211101211101000
411321001210330300
5100423302031140
62523355442000
7312515134104
oct57101447460
917284354330
106325423920
11275659a682
121286456300
1379a6289ba
1444011d904
152704b9a30
hex179064f30

6325423920 has 240 divisors, whose sum is σ = 23146866720. Its totient is φ = 1587400704.

The previous prime is 6325423919. The next prime is 6325423927. The reversal of 6325423920 is 293245236.

It is a happy number.

6325423920 is a `hidden beast` number, since 63 + 2 + 542 + 39 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 (6325423927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 619174 + ... + 629306.

It is an arithmetic number, because the mean of its divisors is an integer number (96445278).

Almost surely, 26325423920 is an apocalyptic number.

6325423920 is a gapful number since it is divisible by the number (60) 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 6325423920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11573433360).

6325423920 is an abundant number, since it is smaller than the sum of its proper divisors (16821442800).

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

6325423920 is a wasteful number, since it uses less digits than its factorization.

6325423920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10189 (or 10160 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 6325423920 is about 79532.5337204845. The cubic root of 6325423920 is about 1849.3958504494.

The spelling of 6325423920 in words is "six billion, three hundred twenty-five million, four hundred twenty-three thousand, nine hundred twenty".