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2143890 = 232574183
BaseRepresentation
bin1000001011011010010010
311000220212100
420023122102
51022101030
6113541230
724136260
oct10133222
94026770
102143890
111234811
12874816
135a0a98
143db430
152c5360
hex20b692

2143890 has 96 divisors (see below), whose sum is σ = 6604416. Its totient is φ = 472320.

The previous prime is 2143877. The next prime is 2143901. The reversal of 2143890 is 983412.

It is an Ulam number.

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25789 + ... + 25871.

It is an arithmetic number, because the mean of its divisors is an integer number (68796).

22143890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2143890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3302208).

2143890 is an abundant number, since it is smaller than the sum of its proper divisors (4460526).

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

2143890 is a wasteful number, since it uses less digits than its factorization.

2143890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2143890 is about 1464.2028547985. The cubic root of 2143890 is about 128.9439092725.

It can be divided in two parts, 21438 and 90, that added together give a triangular number (21528 = T207).

The spelling of 2143890 in words is "two million, one hundred forty-three thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 41 42 45 63 70 82 83 90 105 123 126 166 205 210 246 249 287 315 369 410 415 498 574 581 615 630 738 747 830 861 1162 1230 1245 1435 1494 1722 1743 1845 2490 2583 2870 2905 3403 3486 3690 3735 4305 5166 5229 5810 6806 7470 8610 8715 10209 10458 12915 17015 17430 20418 23821 25830 26145 30627 34030 47642 51045 52290 61254 71463 102090 119105 142926 153135 214389 238210 306270 357315 428778 714630 1071945 2143890