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2142305 = 51123541
BaseRepresentation
bin1000001011000001100001
311000211200122
420023001201
51022023210
6113530025
724131534
oct10130141
94024618
102142305
111233600
12873915
135a0149
143daa1b
152c4b55
hex20b061

2142305 has 12 divisors (see below), whose sum is σ = 2826516. Its totient is φ = 1557600.

The previous prime is 2142299. The next prime is 2142341. The reversal of 2142305 is 5032412.

It can be written as a sum of positive squares in 2 ways, for example, as 833569 + 1308736 = 913^2 + 1144^2 .

It is not a de Polignac number, because 2142305 - 26 = 2142241 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1166 + ... + 2375.

It is an arithmetic number, because the mean of its divisors is an integer number (235543).

22142305 is an apocalyptic number.

It is an amenable number.

2142305 is a deficient number, since it is larger than the sum of its proper divisors (684211).

2142305 is a wasteful number, since it uses less digits than its factorization.

2142305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3568 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 2142305 is about 1463.6615045836. The cubic root of 2142305 is about 128.9121249174.

Adding to 2142305 its reverse (5032412), we get a palindrome (7174717).

The spelling of 2142305 in words is "two million, one hundred forty-two thousand, three hundred five".

Divisors: 1 5 11 55 121 605 3541 17705 38951 194755 428461 2142305