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206042940 = 22345193659
BaseRepresentation
bin11000100011111…
…11011100111100
3112100201001210000
430101333130330
5410221333230
632240114300
75051223165
oct1421773474
9470631700
10206042940
11a6340124
1259005990
13338c19cc
141d51676c
151314eb60
hexc47f73c

206042940 has 120 divisors (see below), whose sum is σ = 650699280. Its totient is φ = 54577152.

The previous prime is 206042939. The next prime is 206043001. The reversal of 206042940 is 49240602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 312331 + ... + 312989.

It is an arithmetic number, because the mean of its divisors is an integer number (5422494).

Almost surely, 2206042940 is an apocalyptic number.

206042940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 206042940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325349640).

206042940 is an abundant number, since it is smaller than the sum of its proper divisors (444656340).

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

206042940 is a wasteful number, since it uses less digits than its factorization.

206042940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 206042940 is about 14354.1959022441. The cubic root of 206042940 is about 590.6350912864.

The spelling of 206042940 in words is "two hundred six million, forty-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 193 270 324 386 405 540 579 659 772 810 965 1158 1318 1620 1737 1930 1977 2316 2636 2895 3295 3474 3860 3954 5211 5790 5931 6590 6948 7908 8685 9885 10422 11580 11862 13180 15633 17370 17793 19770 20844 23724 26055 29655 31266 34740 35586 39540 52110 53379 59310 62532 71172 78165 88965 104220 106758 118620 127187 156330 177930 213516 254374 266895 312660 355860 381561 508748 533790 635935 763122 1067580 1144683 1271870 1526244 1907805 2289366 2543740 3434049 3815610 4578732 5723415 6868098 7631220 10302147 11446830 13736196 17170245 20604294 22893660 34340490 41208588 51510735 68680980 103021470 206042940