114056520 has 64 divisors (see below), whose sum is σ = 344520000. Its totient is φ = 30206208.

The previous prime is 114056513. The next prime is 114056531. The reversal of 114056520 is 25650411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14691 + ... + 21069.

It is an arithmetic number, because the mean of its divisors is an integer number (5383125).

Almost surely, 2^114056520 is an apocalyptic number.

114056520 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 114056520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172260000).

114056520 is an abundant number, since it is smaller than the sum of its proper divisors (230463480).

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

114056520 is a wasteful number, since it uses less digits than its factorization.

114056520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6542 (or 6538 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 114056520 is about 10679.7247155533. The cubic root of 114056520 is about 484.9608782700.

The spelling of 114056520 in words is "one hundred fourteen million, fifty-six thousand, five hundred twenty".