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6380496 = 243259751
BaseRepresentation
bin11000010101101111010000
3110000011101200
4120111233100
53113133441
6344431200
7105143013
oct30255720
913004350
106380496
113668841
122178500
131425255
14bc137a
158607b6
hex615bd0

6380496 has 60 divisors (see below), whose sum is σ = 18183360. Its totient is φ = 2088000.

The previous prime is 6380483. The next prime is 6380497. The reversal of 6380496 is 6940836.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 6380496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6380497) 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 11 ways as a sum of consecutive naturals, for example, 8121 + ... + 8871.

It is an arithmetic number, because the mean of its divisors is an integer number (303056).

Almost surely, 26380496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6380496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9091680).

6380496 is an abundant number, since it is smaller than the sum of its proper divisors (11802864).

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

6380496 is a wasteful number, since it uses less digits than its factorization.

6380496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 6380496 is about 2525.9643702950. The cubic root of 6380496 is about 185.4747582038.

The spelling of 6380496 in words is "six million, three hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 751 944 1062 1416 1502 2124 2253 2832 3004 4248 4506 6008 6759 8496 9012 12016 13518 18024 27036 36048 44309 54072 88618 108144 132927 177236 265854 354472 398781 531708 708944 797562 1063416 1595124 2126832 3190248 6380496