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2142041 = 111937277
BaseRepresentation
bin1000001010111101011001
311000211022212
420022331121
51022021131
6113524505
724131006
oct10127531
94024285
102142041
111233390
12873735
1359cca5
143da8ad
152c4a2b
hex20af59

2142041 has 16 divisors (see below), whose sum is σ = 2535360. Its totient is φ = 1788480.

The previous prime is 2142037. The next prime is 2142043. The reversal of 2142041 is 1402412.

Added to its reverse (1402412) it gives a triangular number (3544453 = T2662).

2142041 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2142041 - 22 = 2142037 is a prime.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7595 + ... + 7871.

It is an arithmetic number, because the mean of its divisors is an integer number (158460).

22142041 is an apocalyptic number.

It is an amenable number.

2142041 is a deficient number, since it is larger than the sum of its proper divisors (393319).

2142041 is a wasteful number, since it uses less digits than its factorization.

2142041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344.

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142041 is about 1463.5713170188. The cubic root of 2142041 is about 128.9068293442.

Adding to 2142041 its reverse (1402412), we get a palindrome (3544453).

The spelling of 2142041 in words is "two million, one hundred forty-two thousand, forty-one".

Divisors: 1 11 19 37 209 277 407 703 3047 5263 7733 10249 57893 112739 194731 2142041