113420400 has 120 divisors (see below), whose sum is σ = 371238144. Its totient is φ = 29587200.

The previous prime is 113420393. The next prime is 113420401. The reversal of 113420400 is 4024311.

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 (15).

It is a self number, because there is not a number n which added to its sum of digits gives 113420400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113420401) 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 23 ways as a sum of consecutive naturals, for example, 55395 + ... + 57405.

Almost surely, 2^113420400 is an apocalyptic number.

113420400 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 113420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185619072).

113420400 is an abundant number, since it is smaller than the sum of its proper divisors (257817744).

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

113420400 is a wasteful number, since it uses less digits than its factorization.

113420400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2079 (or 2068 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 113420400 is about 10649.9014079943. The cubic root of 113420400 is about 484.0576167094.

Adding to 113420400 its reverse (4024311), we get a palindrome (117444711).

The spelling of 113420400 in words is "one hundred thirteen million, four hundred twenty thousand, four hundred".