14956900 has 72 divisors (see below), whose sum is σ = 38747520. Its totient is φ = 4899840.

The previous prime is 14956883. The next prime is 14956901. The reversal of 14956900 is 965941.

It is a super-2 number, since 2×14956900² = 447417715220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14956901) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15636 + ... + 16564.

It is an arithmetic number, because the mean of its divisors is an integer number (538160).

Almost surely, 2^14956900 is an apocalyptic number.

14956900 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 14956900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19373760).

14956900 is an abundant number, since it is smaller than the sum of its proper divisors (23790620).

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

14956900 is a wasteful number, since it uses less digits than its factorization.

14956900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 14956900 is about 3867.4151574404. The cubic root of 14956900 is about 246.3847725241.

The spelling of 14956900 in words is "fourteen million, nine hundred fifty-six thousand, nine hundred".