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2021840424 = 233228081117
BaseRepresentation
bin111100010000010…
…1101011000101000
312012220110010122200
41320200231120220
513120042343144
6532343020200
7101050234332
oct17040553050
95186403580
102021840424
119483046aa
1248513a660
13262b533a6
14152742452
15bc778c69
hex7882d628

2021840424 has 24 divisors (see below), whose sum is σ = 5475818010. Its totient is φ = 673946784.

The previous prime is 2021840423. The next prime is 2021840437. The reversal of 2021840424 is 4240481202.

2021840424 is a `hidden beast` number, since 20 + 218 + 4 + 0 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1122920100 + 898920324 = 33510^2 + 29982^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (2021840423) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 14040487 + ... + 14040630.

Almost surely, 22021840424 is an apocalyptic number.

2021840424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2021840424 is an abundant number, since it is smaller than the sum of its proper divisors (3453977586).

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

2021840424 is a wasteful number, since it uses less digits than its factorization.

2021840424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081129 (or 28081122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

The square root of 2021840424 is about 44964.8798953139. The cubic root of 2021840424 is about 1264.4906580008.

The spelling of 2021840424 in words is "two billion, twenty-one million, eight hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 28081117 56162234 84243351 112324468 168486702 224648936 252730053 336973404 505460106 673946808 1010920212 2021840424