Search a number
-
+
2541814420 = 225127090721
BaseRepresentation
bin1001011110000001…
…0000001010010100
320120010212112212211
42113200100022110
520201201030140
61100115523204
7116663031445
oct22740201224
96503775784
102541814420
111094873882
125ab2b9504
133167acb02
141a18172cc
15ed23a2ea
hex97810294

2541814420 has 12 divisors (see below), whose sum is σ = 5337810324. Its totient is φ = 1016725760.

The previous prime is 2541814411. The next prime is 2541814441. The reversal of 2541814420 is 244181452.

It can be written as a sum of positive squares in 2 ways, for example, as 577729296 + 1964085124 = 24036^2 + 44318^2 .

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 63545341 + ... + 63545380.

It is an arithmetic number, because the mean of its divisors is an integer number (444817527).

Almost surely, 22541814420 is an apocalyptic number.

2541814420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2541814420 is an abundant number, since it is smaller than the sum of its proper divisors (2795995904).

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

2541814420 is a wasteful number, since it uses less digits than its factorization.

2541814420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127090730 (or 127090728 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 31.

The square root of 2541814420 is about 50416.4102252431. The cubic root of 2541814420 is about 1364.7337957624.

Adding to 2541814420 its reverse (244181452), we get a palindrome (2785995872).

The spelling of 2541814420 in words is "two billion, five hundred forty-one million, eight hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 127090721 254181442 508362884 635453605 1270907210 2541814420