14938100 has 18 divisors (see below), whose sum is σ = 32415894. Its totient is φ = 5975200.

The previous prime is 14938093. The next prime is 14938117. The reversal of 14938100 is 183941.

It can be written as a sum of positive squares in 3 ways, for example, as 4153444 + 10784656 = 2038^2 + 3284^2 .

It is a super-2 number, since 2×14938100² = 446293663220000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14938100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74591 + ... + 74790.

It is an arithmetic number, because the mean of its divisors is an integer number (1800883).

Almost surely, 2^14938100 is an apocalyptic number.

14938100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14938100 is an abundant number, since it is smaller than the sum of its proper divisors (17477794).

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

14938100 is a wasteful number, since it uses less digits than its factorization.

14938100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149395 (or 149388 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 14938100 is about 3864.9838292029. The cubic root of 14938100 is about 246.2814985432.

The spelling of 14938100 in words is "fourteen million, nine hundred thirty-eight thousand, one hundred".