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2131540 = 225197541
BaseRepresentation
bin1000001000011001010100
311000021220221
420020121110
51021202130
6113404124
724055255
oct10103124
94007827
102131540
111226504
12869644
13598288
143d6b2c
152c187a
hex208654

2131540 has 24 divisors (see below), whose sum is σ = 4507272. Its totient is φ = 846720.

The previous prime is 2131537. The next prime is 2131541. The reversal of 2131540 is 451312.

It can be written as a sum of positive squares in 4 ways, for example, as 662596 + 1468944 = 814^2 + 1212^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131541) 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 7 ways as a sum of consecutive naturals, for example, 3670 + ... + 4210.

It is an arithmetic number, because the mean of its divisors is an integer number (187803).

22131540 is an apocalyptic number.

2131540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2131540 is an abundant number, since it is smaller than the sum of its proper divisors (2375732).

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

2131540 is a wasteful number, since it uses less digits than its factorization.

2131540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 747 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2131540 is about 1459.9794519102. The cubic root of 2131540 is about 128.6958360789.

Adding to 2131540 its reverse (451312), we get a palindrome (2582852).

The spelling of 2131540 in words is "two million, one hundred thirty-one thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 197 394 541 788 985 1082 1970 2164 2705 3940 5410 10820 106577 213154 426308 532885 1065770 2131540