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116900500 = 2253172809
BaseRepresentation
bin1101111011111…
…00001010010100
322010222011100011
412331330022110
5214411304000
615333330004
72616431533
oct675741224
9263864304
10116900500
115aa95092
1233196904
131b2b01c2
141175031a
15a3e22ba
hex6f7c294

116900500 has 72 divisors (see below), whose sum is σ = 271547640. Its totient is φ = 43955200.

The previous prime is 116900477. The next prime is 116900507. The reversal of 116900500 is 5009611.

It can be written as a sum of positive squares in 12 ways, for example, as 25583364 + 91317136 = 5058^2 + 9556^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116900507) 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, 144096 + ... + 144904.

It is an arithmetic number, because the mean of its divisors is an integer number (3771495).

Almost surely, 2116900500 is an apocalyptic number.

116900500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116900500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135773820).

116900500 is an abundant number, since it is smaller than the sum of its proper divisors (154647140).

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

116900500 is a wasteful number, since it uses less digits than its factorization.

116900500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 22.

The square root of 116900500 is about 10812.0534589873. The cubic root of 116900500 is about 488.9586380819.

The spelling of 116900500 in words is "one hundred sixteen million, nine hundred thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 289 340 425 500 578 809 850 1156 1445 1618 1700 2125 2890 3236 4045 4250 5780 7225 8090 8500 13753 14450 16180 20225 27506 28900 36125 40450 55012 68765 72250 80900 101125 137530 144500 202250 233801 275060 343825 404500 467602 687650 935204 1169005 1375300 1719125 2338010 3438250 4676020 5845025 6876500 11690050 23380100 29225125 58450250 116900500