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6540426 = 23447859
BaseRepresentation
bin11000111100110010001010
3110022021210000
4120330302022
53133243201
6352103430
7106410204
oct30746212
913267700
106540426
113767a12
122234b76
13147cc99
14c23774
15892d86
hex63cc8a

6540426 has 40 divisors (see below), whose sum is σ = 14984640. Its totient is φ = 2131272.

The previous prime is 6540421. The next prime is 6540431. The reversal of 6540426 is 6240456.

It is a happy number.

6540426 is a `hidden beast` number, since 654 + 0 + 4 + 2 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (6540421) and next prime (6540431).

It is a super-2 number, since 2×65404262 = 85554344522952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 6540426.

It is not an unprimeable number, because it can be changed into a prime (6540421) 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 19 ways as a sum of consecutive naturals, for example, 7185 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (374616).

Almost surely, 26540426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6540426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7492320).

6540426 is an abundant number, since it is smaller than the sum of its proper divisors (8444214).

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

6540426 is a wasteful number, since it uses less digits than its factorization.

6540426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 911 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 6540426 is about 2557.4256587436. The cubic root of 6540426 is about 187.0116572180.

The spelling of 6540426 in words is "six million, five hundred forty thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 859 1269 1718 2538 2577 3807 5154 7614 7731 15462 23193 40373 46386 69579 80746 121119 139158 242238 363357 726714 1090071 2180142 3270213 6540426