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2536340 = 225294373
BaseRepresentation
bin1001101011001110010100
311202212012112
421223032110
51122130330
6130210152
730362402
oct11531624
94685175
102536340
111482654
12a23958
136aa5c1
144a0472
15351795
hex26b394

2536340 has 24 divisors (see below), whose sum is σ = 5511240. Its totient is φ = 979328.

The previous prime is 2536309. The next prime is 2536343. The reversal of 2536340 is 436352.

2536340 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 4 ways, for example, as 334084 + 2202256 = 578^2 + 1484^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2536343) 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 7 ways as a sum of consecutive naturals, for example, 1607 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (229635).

22536340 is an apocalyptic number.

2536340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2536340 is an abundant number, since it is smaller than the sum of its proper divisors (2974900).

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

2536340 is a wasteful number, since it uses less digits than its factorization.

2536340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4409 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The square root of 2536340 is about 1592.5890869901. The cubic root of 2536340 is about 136.3753328688.

The spelling of 2536340 in words is "two million, five hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 4373 8746 17492 21865 43730 87460 126817 253634 507268 634085 1268170 2536340