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1082656 = 25231471
BaseRepresentation
bin100001000010100100000
32001000010101
410020110200
5234121111
635112144
712126301
oct4102440
92030111
101082656
1167a463
12442654
132bba33
142027a8
15165bc1
hex108520

1082656 has 24 divisors (see below), whose sum is σ = 2225664. Its totient is φ = 517440.

The previous prime is 1082647. The next prime is 1082659. The reversal of 1082656 is 6562801.

1082656 is a nontrivial binomial coefficient, being equal to C(1472, 2).

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (1082659) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1 + ... + 1471.

It is an arithmetic number, because the mean of its divisors is an integer number (92736).

21082656 is an apocalyptic number.

1082656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082656 is the 1471-st triangular number and also the 736-th hexagonal number.

1082656 is the 491-st centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1112832).

1082656 is an abundant number, since it is smaller than the sum of its proper divisors (1143008).

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

1082656 is a wasteful number, since it uses less digits than its factorization.

1082656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504 (or 1496 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 1082656 is about 1040.5075684492. The cubic root of 1082656 is about 102.6825934325.

The spelling of 1082656 in words is "one million, eighty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 736 1471 2942 5884 11768 23536 33833 47072 67666 135332 270664 541328 1082656