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BaseRepresentation
bin10000101000
31110102
4100220
513224
64532
73050
oct2050
91412
101064
11888
12748
1363b
14560
154ae
hex428

1064 has 16 divisors (see below), whose sum is σ = 2400. Its totient is φ = 432.

The previous prime is 1063. The next prime is 1069. The reversal of 1064 is 4601.

Adding to 1064 its reverse (4601), we get a palindrome (5665).

It can be divided in two parts, 106 and 4, that multiplied together give a palindrome (424).

1064 is nontrivially palindromic in base 11.

It is a super-2 number, since 2×10642 = 2264192, which contains 22 as substring.

1064 is a nontrivial repdigit in base 11.

It is a plaindrome in base 11 and base 15.

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (1061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 47 + ... + 65.

It is an arithmetic number, because the mean of its divisors is an integer number (150).

1064 is a gapful number since it is divisible by the number (14) 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 1064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1200).

1064 is an abundant number, since it is smaller than the sum of its proper divisors (1336).

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

1064 is a wasteful number, since it uses less digits than its factorization.

1064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1064 is about 32.6190128606. The cubic root of 1064 is about 10.2089374440.

The spelling of 1064 in words is "one thousand, sixty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064