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2020240000 = 275425253
BaseRepresentation
bin111100001101010…
…0110101010000000
312012210102211021201
41320122212222000
513114140140000
6532244430544
7101030520352
oct17032465200
95183384251
102020240000
11947411239
124846a8454
13262712aac
141524470d2
15bc55e96a
hex786a6a80

2020240000 has 80 divisors (see below), whose sum is σ = 5029460370. Its totient is φ = 808064000.

The previous prime is 2020239973. The next prime is 2020240051. The reversal of 2020240000 is 420202.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 298321984 + 1721918016 = 17272^2 + 41496^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 67374 + ... + 92626.

Almost surely, 22020240000 is an apocalyptic number.

2020240000 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 2020240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2514730185).

2020240000 is an abundant number, since it is smaller than the sum of its proper divisors (3009220370).

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

2020240000 is an frugal number, since it uses more digits than its factorization.

2020240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25287 (or 25260 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 10.

The square root of 2020240000 is about 44947.0799941442. The cubic root of 2020240000 is about 1264.1569265189.

Adding to 2020240000 its reverse (420202), we get a palindrome (2020660202).

The spelling of 2020240000 in words is "two billion, twenty million, two hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 625 640 800 1000 1250 1600 2000 2500 3200 4000 5000 8000 10000 16000 20000 25253 40000 50506 80000 101012 126265 202024 252530 404048 505060 631325 808096 1010120 1262650 1616192 2020240 2525300 3156625 3232384 4040480 5050600 6313250 8080960 10101200 12626500 15783125 16161920 20202400 25253000 31566250 40404800 50506000 63132500 80809600 101012000 126265000 202024000 252530000 404048000 505060000 1010120000 2020240000