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2641340 = 2251310159
BaseRepresentation
bin1010000100110110111100
311222012020102
422010312330
51134010330
6132340232
731310462
oct12046674
94865212
102641340
111544529
12a74678
13716330
144ca832
15372945
hex284dbc

2641340 has 24 divisors (see below), whose sum is σ = 5974080. Its totient is φ = 975168.

The previous prime is 2641337. The next prime is 2641351. The reversal of 2641340 is 431462.

2641340 = 2412 + 2422 + ... + 2792.

It is a happy number.

2641340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a d-powerful number, because it can be written as 221 + 63 + 49 + 1 + 39 + 49 + 0 .

It is a congruent number.

It is an unprimeable number.

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, 4820 + ... + 5339.

It is an arithmetic number, because the mean of its divisors is an integer number (248920).

22641340 is an apocalyptic number.

2641340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2641340 is an abundant number, since it is smaller than the sum of its proper divisors (3332740).

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

2641340 is a wasteful number, since it uses less digits than its factorization.

2641340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10181 (or 10179 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2641340 is about 1625.2199851097. The cubic root of 2641340 is about 138.2318444004.

The spelling of 2641340 in words is "two million, six hundred forty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 10159 20318 40636 50795 101590 132067 203180 264134 528268 660335 1320670 2641340