Search a number
-
+
2090553300 = 22375211279
BaseRepresentation
bin111110010011011…
…0100111111010100
312101200202010000000
41330212310333110
513240140201200
6543235451300
7102543260403
oct17446647724
95350663000
102090553300
11983076700
124a4156b30
132741610b4
1415b90b63a
15c37ed300
hex7c9b4fd4

2090553300 has 432 divisors, whose sum is σ = 7573126400. Its totient is φ = 500385600.

The previous prime is 2090553277. The next prime is 2090553331. The reversal of 2090553300 is 33550902.

2090553300 is a `hidden beast` number, since 20 + 90 + 553 + 3 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 26462661 + ... + 26462739.

Almost surely, 22090553300 is an apocalyptic number.

2090553300 is a gapful number since it is divisible by the number (20) 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 2090553300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3786563200).

2090553300 is an abundant number, since it is smaller than the sum of its proper divisors (5482573100).

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

2090553300 is a wasteful number, since it uses less digits than its factorization.

2090553300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 2090553300 is about 45722.5688254717. The cubic root of 2090553300 is about 1278.6560805111.

The spelling of 2090553300 in words is "two billion, ninety million, five hundred fifty-three thousand, three hundred".