14426100 has 180 divisors, whose sum is σ = 50728524. Its totient is φ = 3525120.

The previous prime is 14426063. The next prime is 14426101. The reversal of 14426100 is 162441.

14426100 is a `hidden beast` number, since 14 + 42 + 610 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1205604 + 13220496 = 1098^2 + 3636^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a super-2 number, since 2×14426100² = 416224722420000, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14426101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 105232 + ... + 105368.

Almost surely, 2^14426100 is an apocalyptic number.

14426100 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 14426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25364262).

14426100 is an abundant number, since it is smaller than the sum of its proper divisors (36302424).

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

14426100 is a wasteful number, since it uses less digits than its factorization.

14426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14426100 is about 3798.1706122817. The cubic root of 14426100 is about 243.4349776561.

Adding to 14426100 its reverse (162441), we get a palindrome (14588541).

It can be divided in two parts, 144 and 26100, that added together give a square (26244 = 162²).

The spelling of 14426100 in words is "fourteen million, four hundred twenty-six thousand, one hundred".