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2835090 = 2325172109
BaseRepresentation
bin1010110100001010010010
312100001000100
422310022102
51211210330
6140433230
733045366
oct12641222
95301010
102835090
111667055
12b48816
1378358b
1453b2a6
153b0060
hex2b4292

2835090 has 72 divisors (see below), whose sum is σ = 7902180. Its totient is φ = 705024.

The previous prime is 2835089. The next prime is 2835103. The reversal of 2835090 is 905382.

It can be written as a sum of positive squares in 6 ways, for example, as 2277081 + 558009 = 1509^2 + 747^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25956 + ... + 26064.

22835090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2835090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3951090).

2835090 is an abundant number, since it is smaller than the sum of its proper divisors (5067090).

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

2835090 is a wasteful number, since it uses less digits than its factorization.

2835090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 2835090 is about 1683.7725499604. The cubic root of 2835090 is about 141.5323170743.

The spelling of 2835090 in words is "two million, eight hundred thirty-five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 109 153 170 218 255 289 306 327 510 545 578 654 765 867 981 1090 1445 1530 1635 1734 1853 1962 2601 2890 3270 3706 4335 4905 5202 5559 8670 9265 9810 11118 13005 16677 18530 26010 27795 31501 33354 55590 63002 83385 94503 157505 166770 189006 283509 315010 472515 567018 945030 1417545 2835090