13703400 has 144 divisors (see below), whose sum is σ = 48166560. Its totient is φ = 3484800.

The previous prime is 13703353. The next prime is 13703407. The reversal of 13703400 is 430731.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13703407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41235 + ... + 41565.

It is an arithmetic number, because the mean of its divisors is an integer number (334490).

Almost surely, 2^13703400 is an apocalyptic number.

13703400 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 13703400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24083280).

13703400 is an abundant number, since it is smaller than the sum of its proper divisors (34463160).

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

13703400 is a wasteful number, since it uses less digits than its factorization.

13703400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13703400 is about 3701.8103679146. The cubic root of 13703400 is about 239.3000439074.

The spelling of 13703400 in words is "thirteen million, seven hundred three thousand, four hundred".