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2138598 = 2327111543
BaseRepresentation
bin1000001010000111100110
311000122121100
420022013212
51021413343
6113500530
724114660
oct10120746
94018540
102138598
111230840
12871746
1359b557
143d9530
152c39d3
hex20a1e6

2138598 has 48 divisors (see below), whose sum is σ = 5780736. Its totient is φ = 555120.

The previous prime is 2138593. The next prime is 2138623. The reversal of 2138598 is 8958312.

It is an Ulam number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 615 + ... + 2157.

It is an arithmetic number, because the mean of its divisors is an integer number (120432).

22138598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890368).

2138598 is an abundant number, since it is smaller than the sum of its proper divisors (3642138).

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

2138598 is a wasteful number, since it uses less digits than its factorization.

2138598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1566 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 2138598 is about 1462.3946115874. The cubic root of 2138598 is about 128.8377263687.

The spelling of 2138598 in words is "two million, one hundred thirty-eight thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 693 1386 1543 3086 4629 9258 10801 13887 16973 21602 27774 32403 33946 50919 64806 97209 101838 118811 152757 194418 237622 305514 356433 712866 1069299 2138598