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2081358500 = 225313320209
BaseRepresentation
bin111110000001111…
…0000001010100100
312101001102222002212
41330003300022210
513230311433000
6542310422552
7102402153404
oct17403601244
95331388085
102081358500
119789664a1
124a1061a58
13272291ba0
1415a5d6804
15c2ad3c35
hex7c0f02a4

2081358500 has 48 divisors (see below), whose sum is σ = 4895370480. Its totient is φ = 768499200.

The previous prime is 2081358497. The next prime is 2081358509. The reversal of 2081358500 is 58531802.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 706283776 + 1375074724 = 26576^2 + 37082^2 .

It is not an unprimeable number, because it can be changed into a prime (2081358509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153605 + ... + 166604.

It is an arithmetic number, because the mean of its divisors is an integer number (101986885).

Almost surely, 22081358500 is an apocalyptic number.

2081358500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2081358500 is an abundant number, since it is smaller than the sum of its proper divisors (2814011980).

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

2081358500 is a wasteful number, since it uses less digits than its factorization.

2081358500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320241 (or 320229 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 2081358500 is about 45621.9081144136. The cubic root of 2081358500 is about 1276.7787041664.

The spelling of 2081358500 in words is "two billion, eighty-one million, three hundred fifty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 125 130 250 260 325 500 650 1300 1625 3250 6500 320209 640418 1280836 1601045 3202090 4162717 6404180 8005225 8325434 16010450 16650868 20813585 32020900 40026125 41627170 80052250 83254340 104067925 160104500 208135850 416271700 520339625 1040679250 2081358500