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1068256 = 25719251
BaseRepresentation
bin100000100110011100000
32000021101001
410010303200
5233141011
634521344
712036310
oct4046340
92007331
101068256
1166a662
12436254
132b5307
141db440
151617c1
hex104ce0

1068256 has 48 divisors (see below), whose sum is σ = 2540160. Its totient is φ = 432000.

The previous prime is 1068253. The next prime is 1068257. The reversal of 1068256 is 6528601.

It is a super-2 number, since 2×10682562 = 2282341763072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4131 + ... + 4381.

It is an arithmetic number, because the mean of its divisors is an integer number (52920).

21068256 is an apocalyptic number.

1068256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270080).

1068256 is an abundant number, since it is smaller than the sum of its proper divisors (1471904).

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

1068256 is a wasteful number, since it uses less digits than its factorization.

1068256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

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

The square root of 1068256 is about 1033.5647052797. The cubic root of 1068256 is about 102.2253125160.

The spelling of 1068256 in words is "one million, sixty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 251 266 304 502 532 608 1004 1064 1757 2008 2128 3514 4016 4256 4769 7028 8032 9538 14056 19076 28112 33383 38152 56224 66766 76304 133532 152608 267064 534128 1068256