Search a number
-
+
2568520020 = 22351137107983
BaseRepresentation
bin1001100100011000…
…1000000101010100
320122000010100002010
42121012020011110
520230020120040
61102512144220
7120436026363
oct23106100524
96560110063
102568520020
1110a8954120
125b8238070
1331c1a0441
141a51a97da
15100762e80
hex99188154

2568520020 has 192 divisors, whose sum is σ = 8141285376. Its totient is φ = 599569920.

The previous prime is 2568519971. The next prime is 2568520027. The reversal of 2568520020 is 200258652.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2568520020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2568520027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2612449 + ... + 2613431.

It is an arithmetic number, because the mean of its divisors is an integer number (42402528).

Almost surely, 22568520020 is an apocalyptic number.

2568520020 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 2568520020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4070642688).

2568520020 is an abundant number, since it is smaller than the sum of its proper divisors (5572765356).

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

2568520020 is a wasteful number, since it uses less digits than its factorization.

2568520020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1150 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 2568520020 is about 50680.5684656358. The cubic root of 2568520020 is about 1369.4966840630.

Adding to 2568520020 its reverse (200258652), we get a palindrome (2768778672).

The spelling of 2568520020 in words is "two billion, five hundred sixty-eight million, five hundred twenty thousand, twenty".