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2138838 = 2313171613
BaseRepresentation
bin1000001010001011010110
311000122221020
420022023112
51021420323
6113502010
724115452
oct10121326
94018836
102138838
111230a39
12871906
1359b6b0
143d9662
152c3ae3
hex20a2d6

2138838 has 32 divisors (see below), whose sum is σ = 4880736. Its totient is φ = 619008.

The previous prime is 2138833. The next prime is 2138861. The reversal of 2138838 is 8388312.

It is a junction number, because it is equal to n+sod(n) for n = 2138799 and 2138808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138831) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 520 + ... + 2132.

It is an arithmetic number, because the mean of its divisors is an integer number (152523).

22138838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2440368).

2138838 is an abundant number, since it is smaller than the sum of its proper divisors (2741898).

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

2138838 is a wasteful number, since it uses less digits than its factorization.

2138838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648.

The product of its digits is 9216, while the sum is 33.

The square root of 2138838 is about 1462.4766664805. The cubic root of 2138838 is about 128.8425457095.

The spelling of 2138838 in words is "two million, one hundred thirty-eight thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 442 663 1326 1613 3226 4839 9678 20969 27421 41938 54842 62907 82263 125814 164526 356473 712946 1069419 2138838