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1056 = 25311
BaseRepresentation
bin10000100000
31110010
4100200
513211
64520
73036
oct2040
91403
101056
11880
12740
13633
14556
154a6
hex420

1056 has 24 divisors (see below), whose sum is σ = 3024. Its totient is φ = 320.

The previous prime is 1051. The next prime is 1061. The reversal of 1056 is 6501.

1056 divided by its sum of digits (12) gives a palindrome (88).

Adding to 1056 its reverse (6501), we get a palindrome (7557).

Subtracting 1056 from its reverse (6501), we obtain a palindrome (5445).

It can be divided in two parts, 105 and 6, that multiplied together give a triangular number (630 = T35).

1056 = T8 + T9 + ... + T18.

It is an interprime number because it is at equal distance from previous prime (1051) and next prime (1061).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×10562 = 2230272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

It is a plaindrome in base 14.

It is a nialpdrome in base 11, base 12, base 13 and base 16.

It is not an unprimeable number, because it can be changed into a prime (1051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 91 + ... + 101.

It is an arithmetic number, because the mean of its divisors is an integer number (126).

21056 is an apocalyptic number.

1056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is a pronic number, being equal to 32×33.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512).

1056 is an abundant number, since it is smaller than the sum of its proper divisors (1968).

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

1056 is a wasteful number, since it uses less digits than its factorization.

1056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 1056 is about 32.4961536185. The cubic root of 1056 is about 10.1832867393.

The spelling of 1056 in words is "one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056