13410000 has 150 divisors (see below), whose sum is σ = 47211450. Its totient is φ = 3552000.

The previous prime is 13409969. The next prime is 13410031. The reversal of 13410000 is 1431.

13410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13409969) and next prime (13410031).

It can be written as a sum of positive squares in 5 ways, for example, as 8156736 + 5253264 = 2856^2 + 2292^2 .

It is a tau number, because it is divible by the number of its divisors (150).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 89926 + ... + 90074.

It is an arithmetic number, because the mean of its divisors is an integer number (314743).

Almost surely, 2^13410000 is an apocalyptic number.

13410000 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 13410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605725).

13410000 is an abundant number, since it is smaller than the sum of its proper divisors (33801450).

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

13410000 is a wasteful number, since it uses less digits than its factorization.

13410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13410000 is about 3661.9666847201. The cubic root of 13410000 is about 237.5798438841.

Adding to 13410000 its reverse (1431), we get a palindrome (13411431).

The spelling of 13410000 in words is "thirteen million, four hundred ten thousand".