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2010078090 = 2325180112401
BaseRepresentation
bin111011111001111…
…0101101110001010
312012002022112202200
41313303311232022
513104034444330
6531242541030
7100545244656
oct16763655612
95162275680
102010078090
11941700469
12481207776
13260595627
14150d5da66
15bb703a60
hex77cf5b8a

2010078090 has 48 divisors (see below), whose sum is σ = 5229526536. Its totient is φ = 535680000.

The previous prime is 2010078071. The next prime is 2010078097. The reversal of 2010078090 is 908700102.

2010078090 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1106294121 + 903783969 = 33261^2 + 30063^2 .

It is not an unprimeable number, because it can be changed into a prime (2010078097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155890 + ... + 168290.

Almost surely, 22010078090 is an apocalyptic number.

2010078090 is an abundant number, since it is smaller than the sum of its proper divisors (3219448446).

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

2010078090 is a wasteful number, since it uses less digits than its factorization.

2010078090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14215 (or 14212 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 2010078090 is about 44833.8944326723. The cubic root of 2010078090 is about 1262.0337714480.

Adding to 2010078090 its reverse (908700102), we get a palindrome (2918778192).

The spelling of 2010078090 in words is "two billion, ten million, seventy-eight thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1801 3602 5403 9005 10806 12401 16209 18010 24802 27015 32418 37203 54030 62005 74406 81045 111609 124010 162090 186015 223218 372030 558045 1116090 22334201 44668402 67002603 111671005 134005206 201007809 223342010 335013015 402015618 670026030 1005039045 2010078090