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2020574304 = 25327171929107
BaseRepresentation
bin111100001101111…
…1000010001100000
312012211001210212100
41320123320101200
513114231334204
6532255530400
7101033412120
oct17033702140
95184053770
102020574304
1194761a421
12484829a00
132627cbcc8
141524d2c80
15bc5c8a39
hex786f8460

2020574304 has 576 divisors, whose sum is σ = 7642252800. Its totient is φ = 492355584.

The previous prime is 2020574273. The next prime is 2020574351. The reversal of 2020574304 is 4034750202.

2020574304 is a `hidden beast` number, since 20 + 205 + 7 + 430 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18883819 + ... + 18883925.

It is an arithmetic number, because the mean of its divisors is an integer number (13267800).

Almost surely, 22020574304 is an apocalyptic number.

2020574304 is a gapful number since it is divisible by the number (24) 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 2020574304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3821126400).

2020574304 is an abundant number, since it is smaller than the sum of its proper divisors (5621678496).

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

2020574304 is a wasteful number, since it uses less digits than its factorization.

2020574304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2020574304 is about 44950.7987025815. The cubic root of 2020574304 is about 1264.2266524604.

The spelling of 2020574304 in words is "two billion, twenty million, five hundred seventy-four thousand, three hundred four".