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2112093640 = 23585761613
BaseRepresentation
bin111110111100011…
…1111110111001000
312110012021110210101
41331320333313020
513311143444030
6545325255144
7103224333256
oct17570776710
95405243711
102112093640
11994249238
124ab4044b4
13278763667
141607175d6
15c56557ca
hex7de3fdc8

2112093640 has 32 divisors (see below), whose sum is σ = 4757833080. Its totient is φ = 843837952.

The previous prime is 2112093631. The next prime is 2112093647. The reversal of 2112093640 is 463902112.

It can be written as a sum of positive squares in 4 ways, for example, as 1465205284 + 646888356 = 38278^2 + 25434^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2112093599 and 2112093608.

It is not an unprimeable number, because it can be changed into a prime (2112093647) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3474 + ... + 65086.

Almost surely, 22112093640 is an apocalyptic number.

2112093640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112093640 is an abundant number, since it is smaller than the sum of its proper divisors (2645739440).

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

2112093640 is a wasteful number, since it uses less digits than its factorization.

2112093640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62481 (or 62477 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 2112093640 is about 45957.5199504934. The cubic root of 2112093640 is about 1283.0326934299.

Adding to 2112093640 its reverse (463902112), we get a palindrome (2575995752).

The spelling of 2112093640 in words is "two billion, one hundred twelve million, ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 857 1714 3428 4285 6856 8570 17140 34280 61613 123226 246452 308065 492904 616130 1232260 2464520 52802341 105604682 211209364 264011705 422418728 528023410 1056046820 2112093640