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2890000 = 2454172
BaseRepresentation
bin1011000001100100010000
312102211100001
423001210100
51214440000
6141535344
733364441
oct13014420
95384301
102890000
1116a4333
12b74554
137a2579
145532c8
153c146a
hex2c1910

2890000 has 75 divisors (see below), whose sum is σ = 7432777. Its totient is φ = 1088000.

The previous prime is 2889979. The next prime is 2890001. The reversal of 2890000 is 982.

The square root of 2890000 is 1700.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 1411344 + 1478656 = 1188^2 + 1216^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2890000.

It is not an unprimeable number, because it can be changed into a prime (2890001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 169992 + ... + 170008.

22890000 is an apocalyptic number.

2890000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2890000 is the 1700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2890000

2890000 is an abundant number, since it is smaller than the sum of its proper divisors (4542777).

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

2890000 is an equidigital number, since it uses as much as digits as its factorization.

2890000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

The cubic root of 2890000 is about 142.4402129413.

Multiplying 2890000 by its product of nonzero digits (144), we get a square (416160000 = 204002).

Adding to 2890000 its reverse (982), we get a palindrome (2890982).

The spelling of 2890000 in words is "two million, eight hundred ninety thousand".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 68 80 85 100 125 136 170 200 250 272 289 340 400 425 500 578 625 680 850 1000 1156 1250 1360 1445 1700 2000 2125 2312 2500 2890 3400 4250 4624 5000 5780 6800 7225 8500 10000 10625 11560 14450 17000 21250 23120 28900 34000 36125 42500 57800 72250 85000 115600 144500 170000 180625 289000 361250 578000 722500 1445000 2890000