Search a number
-
+
20386367040 = 2635138319681
BaseRepresentation
bin10010111111000111…
…110100011001000000
31221121202112202012010
4102333013310121000
5313222402221130
613210530332520
71321123155264
oct227707643100
957552482163
1020386367040
118711633326
123b4b42a140
131bcb754ba0
14db573c0a4
157e4b3a0b0
hex4bf1f4640

20386367040 has 224 divisors, whose sum is σ = 70549105536. Its totient is φ = 4957470720.

The previous prime is 20386367039. The next prime is 20386367047. The reversal of 20386367040 is 4076368302.

It is a super-2 number, since 2×203863670402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 20386367040.

It is not an unprimeable number, because it can be changed into a prime (20386367047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1026000 + ... + 1045680.

It is an arithmetic number, because the mean of its divisors is an integer number (314951364).

Almost surely, 220386367040 is an apocalyptic number.

20386367040 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 20386367040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35274552768).

20386367040 is an abundant number, since it is smaller than the sum of its proper divisors (50162738496).

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

20386367040 is a wasteful number, since it uses less digits than its factorization.

20386367040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19797 (or 19787 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 20386367040 in words is "twenty billion, three hundred eighty-six million, three hundred sixty-seven thousand, forty".