13429800 has 120 divisors (see below), whose sum is σ = 46699950. Its totient is φ = 3576960.

The previous prime is 13429799. The next prime is 13429807. The reversal of 13429800 is 892431.

13429800 = T₁₀₂₄ + T₁₀₂₅ + ... + T₁₀₄₈.

It can be written as a sum of positive squares in 3 ways, for example, as 10381284 + 3048516 = 3222^2 + 1746^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (13429807) 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 29 ways as a sum of consecutive naturals, for example, 15786 + ... + 16614.

Almost surely, 2^13429800 is an apocalyptic number.

13429800 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 13429800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23349975).

13429800 is an abundant number, since it is smaller than the sum of its proper divisors (33270150).

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

13429800 is a wasteful number, since it uses less digits than its factorization.

13429800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 13429800 is about 3664.6691528704. The cubic root of 13429800 is about 237.6967160591.

The spelling of 13429800 in words is "thirteen million, four hundred twenty-nine thousand, eight hundred".