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2006928 = 2432711181
BaseRepresentation
bin111101001111110010000
310202221222200
413221332100
51003210203
6111003200
723026050
oct7517620
93687880
102006928
111150920
12809500
13553641
143a3560
152999a3
hex1e9f90

2006928 has 120 divisors (see below), whose sum is σ = 7041216. Its totient is φ = 518400.

The previous prime is 2006923. The next prime is 2006929. The reversal of 2006928 is 8296002.

It is not an unprimeable number, because it can be changed into a prime (2006923) 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, 10998 + ... + 11178.

22006928 is an apocalyptic number.

2006928 is a gapful number since it is divisible by the number (28) 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 2006928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520608).

2006928 is an abundant number, since it is smaller than the sum of its proper divisors (5034288).

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

2006928 is a wasteful number, since it uses less digits than its factorization.

2006928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 204 counting only the distinct ones).

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

The square root of 2006928 is about 1416.6608627332. The cubic root of 2006928 is about 126.1374162163.

The spelling of 2006928 in words is "two million, six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 181 198 231 252 264 308 336 362 396 462 504 528 543 616 693 724 792 924 1008 1086 1232 1267 1386 1448 1584 1629 1848 1991 2172 2534 2772 2896 3258 3696 3801 3982 4344 5068 5544 5973 6516 7602 7964 8688 10136 11088 11403 11946 13032 13937 15204 15928 17919 20272 22806 23892 26064 27874 30408 31856 35838 41811 45612 47784 55748 60816 71676 83622 91224 95568 111496 125433 143352 167244 182448 222992 250866 286704 334488 501732 668976 1003464 2006928