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BaseRepresentation
bin10110111000
32000020
4112320
521324
610440
74161
oct2670
92006
101464
111111
12a20
13888
14768
15679
hex5b8

1464 has 16 divisors (see below), whose sum is σ = 3720. Its totient is φ = 480.

The previous prime is 1459. The next prime is 1471. The reversal of 1464 is 4641.

Adding to 1464 its reverse (4641), we get a triangular number (6105 = T110).

It can be divided in two parts, 14 and 64, that added together give a triangular number (78 = T12).

1464 = T15 + T16 + ... + T22.

1464 is nontrivially palindromic in base 11 and base 13.

It is a nude number because it is divisible by every one of its digits.

1464 is a nontrivial repdigit in base 11 and base 13.

It is a plaindrome in base 11, base 13 and base 15.

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

It is a zygodrome in base 11 and base 13.

It is a congruent number.

It is an unprimeable number.

It is a nontrivial repunit in base 11.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7 + ... + 54.

21464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860).

1464 is an abundant number, since it is smaller than the sum of its proper divisors (2256).

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

1464 is a wasteful number, since it uses less digits than its factorization.

1464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 66 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 1464 is about 38.2622529394. The cubic root of 1464 is about 11.3548227417.

The spelling of 1464 in words is "one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 366 488 732 1464