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3001540 = 225150077
BaseRepresentation
bin1011011100110011000100
312122111100011
423130303010
51232022130
6144200004
734340563
oct13346304
95574304
103001540
111770113
121009004
13811279
14581bda
153e452a
hex2dccc4

3001540 has 12 divisors (see below), whose sum is σ = 6303276. Its totient is φ = 1200608.

The previous prime is 3001501. The next prime is 3001543. The reversal of 3001540 is 451003.

3001540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1674436 + 1327104 = 1294^2 + 1152^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3001540.

It is not an unprimeable number, because it can be changed into a prime (3001543) 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 3 ways as a sum of consecutive naturals, for example, 75019 + ... + 75058.

It is an arithmetic number, because the mean of its divisors is an integer number (525273).

Almost surely, 23001540 is an apocalyptic number.

It is an amenable number.

3001540 is an abundant number, since it is smaller than the sum of its proper divisors (3301736).

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

3001540 is a wasteful number, since it uses less digits than its factorization.

3001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150086 (or 150084 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 3001540 is about 1732.4953102390. The cubic root of 3001540 is about 144.2496313018.

Adding to 3001540 its reverse (451003), we get a palindrome (3452543).

The spelling of 3001540 in words is "three million, one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 150077 300154 600308 750385 1500770 3001540