114286032 has 120 divisors (see below), whose sum is σ = 381672000. Its totient is φ = 32647104.

The previous prime is 114286027. The next prime is 114286033. The reversal of 114286032 is 230682411.

114286032 is a `hidden beast` number, since 11 + 42 + 8 + 603 + 2 = 666.

It is a super-2 number, since 2×114286032² = 26122594220610048, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 114285987 and 114286005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114286033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18469 + ... + 23867.

It is an arithmetic number, because the mean of its divisors is an integer number (3180600).

Almost surely, 2^114286032 is an apocalyptic number.

114286032 is a gapful number since it is divisible by the number (12) 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 114286032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

114286032 is an abundant number, since it is smaller than the sum of its proper divisors (267385968).

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

114286032 is a wasteful number, since it uses less digits than its factorization.

114286032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5430 (or 5411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114286032 is about 10690.4645362117. The cubic root of 114286032 is about 485.2859503380.

It can be divided in two parts, 114 and 286032, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 114286032 in words is "one hundred fourteen million, two hundred eighty-six thousand, thirty-two".