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BaseRepresentation
bin10110110000
31222221
4112300
521311
610424
74150
oct2660
91887
101456
111104
12a14
13880
14760
15671
hex5b0

1456 has 20 divisors (see below), whose sum is σ = 3472. Its totient is φ = 576.

The previous prime is 1453. The next prime is 1459. The reversal of 1456 is 6541.

1456 = T8 + T9 + ... + T20.

1456 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (1453) and next prime (1459).

It is a Harshad number since it is a multiple of its sum of digits (16).

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

It is a plaindrome in base 10.

It is a nialpdrome in base 13 and base 14.

It is not an unprimeable number, because it can be changed into a prime (1451) 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, 106 + ... + 118.

1456 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 1456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736).

1456 is an abundant number, since it is smaller than the sum of its proper divisors (2016).

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

1456 is a wasteful number, since it uses less digits than its factorization.

1456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28 (or 22 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 1456 is about 38.1575680567. The cubic root of 1456 is about 11.3341022162.

1456 divided by its sum of digits (16) gives a triangular number (91 = T13).

Adding to 1456 its reverse (6541), we get a palindrome (7997).

It can be divided in two parts, 145 and 6, that added together give a palindrome (151).

The spelling of 1456 in words is "one thousand, four hundred fifty-six".