13540032 has 84 divisors (see below), whose sum is σ = 42358056. Its totient is φ = 4101120.

The previous prime is 13540001. The next prime is 13540073. The reversal of 13540032 is 23004531.

It is a super-2 number, since 2×13540032² = 366664933122048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 13539987 and 13540014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5268 + ... + 7404.

Almost surely, 2^13540032 is an apocalyptic number.

13540032 is a gapful number since it is divisible by the number (12) 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 13540032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21179028).

13540032 is an abundant number, since it is smaller than the sum of its proper divisors (28818024).

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

13540032 is a wasteful number, since it uses less digits than its factorization.

13540032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 13540032 is about 3679.6782468037. The cubic root of 13540032 is about 238.3452842014.

Adding to 13540032 its reverse (23004531), we get a palindrome (36544563).

It can be divided in two parts, 13 and 540032, that added together give a palindrome (540045).

The spelling of 13540032 in words is "thirteen million, five hundred forty thousand, thirty-two".