13956300 has 90 divisors (see below), whose sum is σ = 45267068. Its totient is φ = 3719520.

The previous prime is 13956247. The next prime is 13956311. The reversal of 13956300 is 365931.

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 7239 + ... + 8961.

Almost surely, 2^13956300 is an apocalyptic number.

13956300 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 13956300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22633534).

13956300 is an abundant number, since it is smaller than the sum of its proper divisors (31310768).

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

13956300 is a wasteful number, since it uses less digits than its factorization.

13956300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 13956300 is about 3735.8131644931. The cubic root of 13956300 is about 240.7631954802.

The spelling of 13956300 in words is "thirteen million, nine hundred fifty-six thousand, three hundred".