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1064256 = 26323241
BaseRepresentation
bin100000011110101000000
32000001212220
410003311000
5233024011
634451040
712021534
oct4036500
92001786
101064256
11667656
12433a80
132b354b
141d9bc4
15160506
hex103d40

1064256 has 56 divisors (see below), whose sum is σ = 2950464. Its totient is φ = 337920.

The previous prime is 1064243. The next prime is 1064257. The reversal of 1064256 is 6524601.

It is a super-2 number, since 2×10642562 = 2265281667072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 0 + 65 + 410 + 2 + 53 + 65 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1064257) 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, 4296 + ... + 4536.

21064256 is an apocalyptic number.

1064256 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 1064256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1475232).

1064256 is an abundant number, since it is smaller than the sum of its proper divisors (1886208).

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

1064256 is a wasteful number, since it uses less digits than its factorization.

1064256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1064256 is about 1031.6278398725. The cubic root of 1064256 is about 102.0975614025.

1064256 divided by its sum of digits (24) gives a palindrome (44344).

Adding to 1064256 its reverse (6524601), we get a palindrome (7588857).

The spelling of 1064256 in words is "one million, sixty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 241 276 368 482 552 723 736 964 1104 1446 1472 1928 2208 2892 3856 4416 5543 5784 7712 11086 11568 15424 16629 22172 23136 33258 44344 46272 66516 88688 133032 177376 266064 354752 532128 1064256