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2024130320 = 24525301629
BaseRepresentation
bin111100010100101…
…1100011100010000
312020001202110210122
41320221130130100
513121134132240
6532504045412
7101105552402
oct17051343420
95201673718
102024130320
11949629083
12485a63868
13263475764
14152b7ab72
15bca7c4b5
hex78a5c710

2024130320 has 20 divisors (see below), whose sum is σ = 4706103180. Its totient is φ = 809652096.

The previous prime is 2024130263. The next prime is 2024130323. The reversal of 2024130320 is 230314202.

It can be written as a sum of positive squares in 2 ways, for example, as 1610577424 + 413552896 = 40132^2 + 20336^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×20241303203 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2024130323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12650735 + ... + 12650894.

It is an arithmetic number, because the mean of its divisors is an integer number (235305159).

Almost surely, 22024130320 is an apocalyptic number.

2024130320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024130320 is an abundant number, since it is smaller than the sum of its proper divisors (2681972860).

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

2024130320 is a wasteful number, since it uses less digits than its factorization.

2024130320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25301642 (or 25301636 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 2024130320 is about 44990.3358511581. The cubic root of 2024130320 is about 1264.9678568283.

Adding to 2024130320 its reverse (230314202), we get a palindrome (2254444522).

The spelling of 2024130320 in words is "two billion, twenty-four million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 25301629 50603258 101206516 126508145 202413032 253016290 404826064 506032580 1012065160 2024130320