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2138213 = 72113967
BaseRepresentation
bin1000001010000001100101
311000122002002
420022001211
51021410323
6113455045
724113600
oct10120145
94018062
102138213
111230520
12871485
1359b31c
143d9337
152c3828
hex20a065

2138213 has 12 divisors (see below), whose sum is σ = 2714112. Its totient is φ = 1665720.

The previous prime is 2138207. The next prime is 2138221. The reversal of 2138213 is 3128312.

It is not a de Polignac number, because 2138213 - 24 = 2138197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138263) by changing a digit.

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, 1445 + ... + 2522.

It is an arithmetic number, because the mean of its divisors is an integer number (226176).

22138213 is an apocalyptic number.

It is an amenable number.

2138213 is a deficient number, since it is larger than the sum of its proper divisors (575899).

2138213 is a wasteful number, since it uses less digits than its factorization.

2138213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3992 (or 3985 counting only the distinct ones).

The product of its digits is 288, while the sum is 20.

The square root of 2138213 is about 1462.2629722454. The cubic root of 2138213 is about 128.8299945897.

Subtracting 2138213 from its reverse (3128312), we obtain a palindrome (990099).

The spelling of 2138213 in words is "two million, one hundred thirty-eight thousand, two hundred thirteen".

Divisors: 1 7 11 49 77 539 3967 27769 43637 194383 305459 2138213