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2086460900 = 225220864609
BaseRepresentation
bin111110001011100…
…1101110111100100
312101102001012021122
41330113031313210
513233113222100
6543012033112
7102463424246
oct17427156744
95342035248
102086460900
11980830a57
124a2902798
1327335a464
1415b164096
15c3290985
hex7c5cdde4

2086460900 has 18 divisors (see below), whose sum is σ = 4527620370. Its totient is φ = 834584320.

The previous prime is 2086460899. The next prime is 2086460923. The reversal of 2086460900 is 90646802.

It can be written as a sum of positive squares in 3 ways, for example, as 538982656 + 1547478244 = 23216^2 + 39338^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10432205 + ... + 10432404.

It is an arithmetic number, because the mean of its divisors is an integer number (251534465).

Almost surely, 22086460900 is an apocalyptic number.

2086460900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2086460900 is an abundant number, since it is smaller than the sum of its proper divisors (2441159470).

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

2086460900 is a wasteful number, since it uses less digits than its factorization.

2086460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20864623 (or 20864616 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2086460900 is about 45677.7943863317. The cubic root of 2086460900 is about 1277.8211834586.

The spelling of 2086460900 in words is "two billion, eighty-six million, four hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 20864609 41729218 83458436 104323045 208646090 417292180 521615225 1043230450 2086460900