114513630 has 128 divisors (see below), whose sum is σ = 347120640. Its totient is φ = 23485440.

The previous prime is 114513629. The next prime is 114513643. The reversal of 114513630 is 36315411.

It is a super-2 number, since 2×114513630² = 26226742911553800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 114513630.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 205312 + ... + 205868.

It is an arithmetic number, because the mean of its divisors is an integer number (2711880).

Almost surely, 2^114513630 is an apocalyptic number.

114513630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114513630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

114513630 is an abundant number, since it is smaller than the sum of its proper divisors (232607010).

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

114513630 is a wasteful number, since it uses less digits than its factorization.

114513630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674.

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 114513630 is about 10701.1041486381. The cubic root of 114513630 is about 485.6078819896.

The spelling of 114513630 in words is "one hundred fourteen million, five hundred thirteen thousand, six hundred thirty".