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3000820 = 225150041
BaseRepresentation
bin1011011100100111110100
312122110100111
423130213310
51232011240
6144152404
734335514
oct13344764
95573314
103000820
11176a619
121008704
13810b44
14581844
153e41ea
hex2dc9f4

3000820 has 12 divisors (see below), whose sum is σ = 6301764. Its totient is φ = 1200320.

The previous prime is 3000797. The next prime is 3000821. The reversal of 3000820 is 280003.

It can be written as a sum of positive squares in 2 ways, for example, as 1838736 + 1162084 = 1356^2 + 1078^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3000820.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3000821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75001 + ... + 75040.

It is an arithmetic number, because the mean of its divisors is an integer number (525147).

Almost surely, 23000820 is an apocalyptic number.

It is an amenable number.

3000820 is an abundant number, since it is smaller than the sum of its proper divisors (3300944).

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

3000820 is a wasteful number, since it uses less digits than its factorization.

3000820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150050 (or 150048 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 3000820 is about 1732.2875050060. The cubic root of 3000820 is about 144.2380963298.

Adding to 3000820 its reverse (280003), we get a palindrome (3280823).

The spelling of 3000820 in words is "three million, eight hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 150041 300082 600164 750205 1500410 3000820