114729240 has 64 divisors (see below), whose sum is σ = 348364800. Its totient is φ = 30223232.

The previous prime is 114729187. The next prime is 114729247. The reversal of 114729240 is 42927411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 114729198 and 114729207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114729247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4201 + ... + 15719.

It is an arithmetic number, because the mean of its divisors is an integer number (5443200).

Almost surely, 2^114729240 is an apocalyptic number.

114729240 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 114729240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174182400).

114729240 is an abundant number, since it is smaller than the sum of its proper divisors (233635560).

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

114729240 is a wasteful number, since it uses less digits than its factorization.

114729240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11616 (or 11612 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 114729240 is about 10711.1736051658. The cubic root of 114729240 is about 485.9124637005.

The spelling of 114729240 in words is "one hundred fourteen million, seven hundred twenty-nine thousand, two hundred forty".