14001540 has 192 divisors, whose sum is σ = 49641984. Its totient is φ = 2875392.

The previous prime is 14001539. The next prime is 14001551. The reversal of 14001540 is 4510041.

14001540 = 69² + 70² + ... + 348².

It is a Harshad number since it is a multiple of its sum of digits (15).

14001540 is a modest number, since divided by 1540 gives 1400 as remainder.

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 63 ways as a sum of consecutive naturals, for example, 264154 + ... + 264206.

It is an arithmetic number, because the mean of its divisors is an integer number (258552).

Almost surely, 2^14001540 is an apocalyptic number.

14001540 is a gapful number since it is divisible by the number (10) 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 14001540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24820992).

14001540 is an abundant number, since it is smaller than the sum of its proper divisors (35640444).

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

14001540 is a wasteful number, since it uses less digits than its factorization.

14001540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 14001540 is about 3741.8631722713. The cubic root of 14001540 is about 241.0230632818.

Adding to 14001540 its reverse (4510041), we get a palindrome (18511581).

It can be divided in two parts, 14001 and 540, that added together give a palindrome (14541).

The spelling of 14001540 in words is "fourteen million, one thousand, five hundred forty".