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2020404240 = 2432537149509
BaseRepresentation
bin111100001101100…
…1110110000010000
312012210202011120200
41320123032300100
513114210413430
6532252135200
7101032103241
oct17033166020
95183664520
102020404240
11947513678
12484767500
1326276c78a
1415248acc8
15bc593460
hex786cec10

2020404240 has 240 divisors, whose sum is σ = 7029126000. Its totient is φ = 519671808.

The previous prime is 2020404209. The next prime is 2020404247. The reversal of 2020404240 is 424040202.

2020404240 is a `hidden beast` number, since 2 + 0 + 20 + 404 + 240 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 23386896 + 1997017344 = 4836^2 + 44688^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2020404247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3969106 + ... + 3969614.

It is an arithmetic number, because the mean of its divisors is an integer number (29288025).

Almost surely, 22020404240 is an apocalyptic number.

2020404240 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 2020404240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3514563000).

2020404240 is an abundant number, since it is smaller than the sum of its proper divisors (5008721760).

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

2020404240 is a wasteful number, since it uses less digits than its factorization.

2020404240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 705 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2020404240 is about 44948.9069944977. The cubic root of 2020404240 is about 1264.1911830936.

Adding to 2020404240 its reverse (424040202), we get a palindrome (2444444442).

The spelling of 2020404240 in words is "two billion, twenty million, four hundred four thousand, two hundred forty".