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2540429 = 17295153
BaseRepresentation
bin1001101100001110001101
311210001210222
421230032031
51122243204
6130241125
730410333
oct11541615
94701728
102540429
111485731
12a261a5
136ac418
144a1b53
15352abe
hex26c38d

2540429 has 8 divisors (see below), whose sum is σ = 2783160. Its totient is φ = 2308096.

The previous prime is 2540423. The next prime is 2540431. The reversal of 2540429 is 9240452.

2540429 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 855625 + 1684804 = 925^2 + 1298^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2540429 - 24 = 2540413 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2540398 and 2540407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2540423) 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, 2084 + ... + 3069.

It is an arithmetic number, because the mean of its divisors is an integer number (347895).

22540429 is an apocalyptic number.

2540429 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

It is an amenable number.

2540429 is a deficient number, since it is larger than the sum of its proper divisors (242731).

2540429 is a wasteful number, since it uses less digits than its factorization.

2540429 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5199.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 2540429 is about 1593.8723286387. The cubic root of 2540429 is about 136.4485800590.

The spelling of 2540429 in words is "two million, five hundred forty thousand, four hundred twenty-nine".

Divisors: 1 17 29 493 5153 87601 149437 2540429