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1463 = 71119
BaseRepresentation
bin10110110111
32000012
4112313
521323
610435
74160
oct2667
92005
101463
111110
12a1b
13887
14767
15678
hex5b7

1463 has 8 divisors (see below), whose sum is σ = 1920. Its totient is φ = 1080.

The previous prime is 1459. The next prime is 1471. The reversal of 1463 is 3641.

1463 is nontrivially palindromic in base 14.

1463 is an esthetic number in base 14 and base 15, because in such bases its adjacent digits differ by 1.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1463 - 22 = 1459 is a prime.

It is a Duffinian number.

1463 is an undulating number in base 14.

1463 is a modest number, since divided by 63 gives 14 as remainder.

It is a plaindrome in base 8 and base 15.

It is a nialpdrome in base 11 and base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68 + ... + 86.

It is an arithmetic number, because the mean of its divisors is an integer number (240).

1463 is a deficient number, since it is larger than the sum of its proper divisors (457).

1463 is a wasteful number, since it uses less digits than its factorization.

1463 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37.

The product of its digits is 72, while the sum is 14.

The square root of 1463 is about 38.2491829978. The cubic root of 1463 is about 11.3522368107.

It can be divided in two parts, 14 and 63, that added together give a palindrome (77).

The spelling of 1463 in words is "one thousand, four hundred sixty-three".

Divisors: 1 7 11 19 77 133 209 1463