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2820540 = 2235291621
BaseRepresentation
bin1010110000100110111100
312022022001110
422300212330
51210224130
6140242020
732655102
oct12604674
95268043
102820540
111657128
12b40310
13779a78
14535c72
153aaab0
hex2b09bc

2820540 has 48 divisors (see below), whose sum is σ = 8174880. Its totient is φ = 725760.

The previous prime is 2820527. The next prime is 2820541. The reversal of 2820540 is 450282.

2820540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2820541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930 + ... + 2550.

It is an arithmetic number, because the mean of its divisors is an integer number (170310).

22820540 is an apocalyptic number.

2820540 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 2820540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4087440).

2820540 is an abundant number, since it is smaller than the sum of its proper divisors (5354340).

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

2820540 is a wasteful number, since it uses less digits than its factorization.

2820540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1660 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 2820540 is about 1679.4463373386. The cubic root of 2820540 is about 141.2897817830.

The spelling of 2820540 in words is "two million, eight hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 290 348 435 580 870 1621 1740 3242 4863 6484 8105 9726 16210 19452 24315 32420 47009 48630 94018 97260 141027 188036 235045 282054 470090 564108 705135 940180 1410270 2820540