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2024312020 = 225619716333
BaseRepresentation
bin111100010101000…
…1000110011010100
312020002002201001021
41320222020303110
513121210441040
6532512010524
7101110240213
oct17052106324
95202081037
102024312020
11949742645
12485b30a44
1326350a383
14152bc707a
15bcab624a
hex78a88cd4

2024312020 has 24 divisors (see below), whose sum is σ = 4252001544. Its totient is φ = 809544576.

The previous prime is 2024311963. The next prime is 2024312039. The reversal of 2024312020 is 202134202.

It can be written as a sum of positive squares in 4 ways, for example, as 391876 + 2023920144 = 626^2 + 44988^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2024311985 and 2024312003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115774 + ... + 132106.

It is an arithmetic number, because the mean of its divisors is an integer number (177166731).

Almost surely, 22024312020 is an apocalyptic number.

2024312020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024312020 is an abundant number, since it is smaller than the sum of its proper divisors (2227689524).

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

2024312020 is a wasteful number, since it uses less digits than its factorization.

2024312020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22539 (or 22537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2024312020 is about 44992.3551283993. The cubic root of 2024312020 is about 1265.0057064634.

Adding to 2024312020 its reverse (202134202), we get a palindrome (2226446222).

The spelling of 2024312020 in words is "two billion, twenty-four million, three hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 6197 12394 16333 24788 30985 32666 61970 65332 81665 123940 163330 326660 101215601 202431202 404862404 506078005 1012156010 2024312020