Search a number
-
+
20396507040 = 25325713315021
BaseRepresentation
bin10010111111101110…
…011111111110100000
31221122110121220122200
4102333232133332200
5313233001211130
613211531533200
71321305310050
oct227756377640
957573556580
1020396507040
118717329698
123b528ba200
131c008953a0
14db6c1b560
157e598e760
hex4bfb9ffa0

20396507040 has 576 divisors, whose sum is σ = 88446339072. Its totient is φ = 4163788800.

The previous prime is 20396507017. The next prime is 20396507057. The reversal of 20396507040 is 4070569302.

20396507040 is a `hidden beast` number, since 20 + 3 + 96 + 507 + 0 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 20396506986 and 20396507004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4059730 + ... + 4064750.

It is an arithmetic number, because the mean of its divisors is an integer number (153552672).

Almost surely, 220396507040 is an apocalyptic number.

20396507040 is a gapful number since it is divisible by the number (20) 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 20396507040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44223169536).

20396507040 is an abundant number, since it is smaller than the sum of its proper divisors (68049832032).

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

20396507040 is a wasteful number, since it uses less digits than its factorization.

20396507040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5093 (or 5082 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 20396507040 in words is "twenty billion, three hundred ninety-six million, five hundred seven thousand, forty".