Search a number
-
+
13488 = 243281
BaseRepresentation
bin11010010110000
3200111120
43102300
5412423
6142240
754216
oct32260
920446
1013488
11a152
127980
1361a7
144cb6
153ee3
hex34b0

13488 has 20 divisors (see below), whose sum is σ = 34968. Its totient is φ = 4480.

The previous prime is 13487. The next prime is 13499. The reversal of 13488 is 88431.

13488 is nontrivially palindromic in base 15.

It is a super-2 number, since 2×134882 = 363852288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (13487) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 93 + ... + 188.

213488 is an apocalyptic number.

It is an amenable number.

13488 is an abundant number, since it is smaller than the sum of its proper divisors (21480).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17484).

13488 is a wasteful number, since it uses less digits than its factorization.

13488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 286 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 13488 is about 116.1378491277. The cubic root of 13488 is about 23.8039585723.

Subtracting from 13488 its product of digits (768), we obtain a triangular number (12720 = T159).

It can be divided in two parts, 134 and 88, that added together give a palindrome (222).

The spelling of 13488 in words is "thirteen thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 281 562 843 1124 1686 2248 3372 4496 6744 13488