13948500 has 96 divisors (see below), whose sum is σ = 43085952. Its totient is φ = 3494400.

The previous prime is 13948499. The next prime is 13948513. The reversal of 13948500 is 584931.

13948500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25227 + ... + 25773.

It is an arithmetic number, because the mean of its divisors is an integer number (448812).

Almost surely, 2^13948500 is an apocalyptic number.

13948500 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 13948500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21542976).

13948500 is an abundant number, since it is smaller than the sum of its proper divisors (29137452).

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

13948500 is a wasteful number, since it uses less digits than its factorization.

13948500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 13948500 is about 3734.7690691661. The cubic root of 13948500 is about 240.7183339508.

The spelling of 13948500 in words is "thirteen million, nine hundred forty-eight thousand, five hundred".