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2138886 = 238163
BaseRepresentation
bin1000001010001100000110
311000200000000
420022030012
51021421021
6113502130
724115551
oct10121406
94020000
102138886
111230a82
12871946
1359b719
143d9698
152c3b26
hex20a306

2138886 has 36 divisors (see below), whose sum is σ = 4841772. Its totient is φ = 708588.

The previous prime is 2138879. The next prime is 2138897. The reversal of 2138886 is 6888312.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 213 + 1 + 36 + 8 + 85 + 87 + 62 .

It is a self number, because there is not a number n which added to its sum of digits gives 2138886.

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 13041 + ... + 13203.

22138886 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138886, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2420886).

2138886 is an abundant number, since it is smaller than the sum of its proper divisors (2702886).

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

2138886 is an frugal number, since it uses more digits than its factorization.

2138886 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 168 counting only the distinct ones).

The product of its digits is 18432, while the sum is 36.

The square root of 2138886 is about 1462.4930769067. The cubic root of 2138886 is about 128.8435095344.

It can be divided in two parts, 2 and 138886, that multiplied together give a palindrome (277772).

The spelling of 2138886 in words is "two million, one hundred thirty-eight thousand, eight hundred eighty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 163 243 326 486 489 729 978 1458 1467 2187 2934 4374 4401 6561 8802 13122 13203 26406 39609 79218 118827 237654 356481 712962 1069443 2138886