14292000 has 144 divisors (see below), whose sum is σ = 50850072. Its totient is φ = 3801600.

The previous prime is 14291939. The next prime is 14292001. The reversal of 14292000 is 29241.

14292000 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It can be written as a sum of positive squares in 4 ways, for example, as 5363856 + 8928144 = 2316^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×14292000² = 408522528000000, which contains 22 as substring.

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

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (14292001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35802 + ... + 36198.

Almost surely, 2^14292000 is an apocalyptic number.

14292000 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 14292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25425036).

14292000 is an abundant number, since it is smaller than the sum of its proper divisors (36558072).

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

14292000 is a wasteful number, since it uses less digits than its factorization.

14292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 14292000 is about 3780.4761604856. The cubic root of 14292000 is about 242.6783327054.

The spelling of 14292000 in words is "fourteen million, two hundred ninety-two thousand".