Search a number
-
+
20020815360 = 293457131061
BaseRepresentation
bin10010101001010101…
…010110011000000000
31220200021200210120000
4102221111112120000
5312000312042420
613110351320000
71306064060040
oct225125263000
956607623500
1020020815360
1185442569a7
123a68b20000
131b70ab5210
14d7cd83720
157c29cd690
hex4a9556600

20020815360 has 800 divisors, whose sum is σ = 88339470912. Its totient is φ = 4220190720.

The previous prime is 20020815319. The next prime is 20020815407. The reversal of 20020815360 is 6351802002.

20020815360 is a `hidden beast` number, since 200 + 20 + 81 + 5 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18869230 + ... + 18870290.

Almost surely, 220020815360 is an apocalyptic number.

20020815360 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 20020815360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44169735456).

20020815360 is an abundant number, since it is smaller than the sum of its proper divisors (68318655552).

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

20020815360 is a wasteful number, since it uses less digits than its factorization.

20020815360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1116 (or 1091 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 20020815360 in words is "twenty billion, twenty million, eight hundred fifteen thousand, three hundred sixty".