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2006841150 = 233523740177
BaseRepresentation
bin111011110011101…
…1111011100111110
312011212020002112000
41313213133130332
513102222404100
6531045323130
7100505603556
oct16747373476
95155202460
102006841150
1193a89a506
124801064a6
1325ca01192
1415075a166
15bb2b4900
hex779df73e

2006841150 has 96 divisors (see below), whose sum is σ = 5679562080. Its totient is φ = 520680960.

The previous prime is 2006841139. The next prime is 2006841157. The reversal of 2006841150 is 511486002.

It is a super-2 number, since 2×20068411502 = 8054822802666645000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2006841157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29862 + ... + 70038.

It is an arithmetic number, because the mean of its divisors is an integer number (59162105).

Almost surely, 22006841150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2006841150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2839781040).

2006841150 is an abundant number, since it is smaller than the sum of its proper divisors (3672720930).

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

2006841150 is a wasteful number, since it uses less digits than its factorization.

2006841150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40235 (or 40224 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2006841150 is about 44797.7806369914. The cubic root of 2006841150 is about 1261.3559665381.

The spelling of 2006841150 in words is "two billion, six million, eight hundred forty-one thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 37 45 50 54 74 75 90 111 135 150 185 222 225 270 333 370 450 555 666 675 925 999 1110 1350 1665 1850 1998 2775 3330 4995 5550 8325 9990 16650 24975 40177 49950 80354 120531 200885 241062 361593 401770 602655 723186 1004425 1084779 1205310 1486549 1807965 2008850 2169558 2973098 3013275 3615930 4459647 5423895 6026550 7432745 8919294 9039825 10847790 13378941 14865490 18079650 22298235 26757882 27119475 37163725 40136823 44596470 54238950 66894705 74327450 80273646 111491175 133789410 200684115 222982350 334473525 401368230 668947050 1003420575 2006841150