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2561340 = 223542689
BaseRepresentation
bin1001110001010100111100
311211010111110
421301110330
51123430330
6130522020
730525315
oct11612474
94733443
102561340
11149a411
12a36310
136b8ab2
144a960c
15358db0
hex27153c

2561340 has 24 divisors (see below), whose sum is σ = 7171920. Its totient is φ = 683008.

The previous prime is 2561327. The next prime is 2561341. The reversal of 2561340 is 431652.

It is a happy number.

2561340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2561341) 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, 21285 + ... + 21404.

It is an arithmetic number, because the mean of its divisors is an integer number (298830).

22561340 is an apocalyptic number.

2561340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2561340 is an abundant number, since it is smaller than the sum of its proper divisors (4610580).

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

2561340 is a wasteful number, since it uses less digits than its factorization.

2561340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42701 (or 42699 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2561340 is about 1600.4186952170. The cubic root of 2561340 is about 136.8219399851.

Adding to 2561340 its reverse (431652), we get a palindrome (2992992).

It can be divided in two parts, 256 and 1340, that added together give a triangular number (1596 = T56).

The spelling of 2561340 in words is "two million, five hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 42689 85378 128067 170756 213445 256134 426890 512268 640335 853780 1280670 2561340