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2010413140 = 225100520657
BaseRepresentation
bin111011111010100…
…0111100001010100
312012002221120100221
41313311013201110
513104131210030
6531254044124
7100551141541
oct16765074124
95162846327
102010413140
1194190a16a
12481349644
13260681c98
14151009bc8
15bb76ce7a
hex77d47854

2010413140 has 12 divisors (see below), whose sum is σ = 4221867636. Its totient is φ = 804165248.

The previous prime is 2010413129. The next prime is 2010413143. The reversal of 2010413140 is 413140102.

It can be written as a sum of positive squares in 2 ways, for example, as 518290756 + 1492122384 = 22766^2 + 38628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010413143) 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 3 ways as a sum of consecutive naturals, for example, 50260309 + ... + 50260348.

It is an arithmetic number, because the mean of its divisors is an integer number (351822303).

Almost surely, 22010413140 is an apocalyptic number.

2010413140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010413140 is an abundant number, since it is smaller than the sum of its proper divisors (2211454496).

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

2010413140 is a wasteful number, since it uses less digits than its factorization.

2010413140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100520666 (or 100520664 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2010413140 is about 44837.6308473140. The cubic root of 2010413140 is about 1262.1038882800.

Adding to 2010413140 its reverse (413140102), we get a palindrome (2423553242).

The spelling of 2010413140 in words is "two billion, ten million, four hundred thirteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 100520657 201041314 402082628 502603285 1005206570 2010413140