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114314460 = 2235131737233
BaseRepresentation
bin1101101000001…
…00110011011100
321222002202221220
412310010303130
5213231030320
615202053340
72555441211
oct664046334
9258082856
10114314460
1159589167
123234a250
131a8b60c0
1411279b08
15a080e40
hex6d04cdc

114314460 has 192 divisors, whose sum is σ = 376451712. Its totient is φ = 25657344.

The previous prime is 114314441. The next prime is 114314467. The reversal of 114314460 is 64413411.

Added to its reverse (64413411) it gives a triangular number (178727871 = T18906).

It is a self number, because there is not a number n which added to its sum of digits gives 114314460.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114314467) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 490504 + ... + 490736.

It is an arithmetic number, because the mean of its divisors is an integer number (1960686).

Almost surely, 2114314460 is an apocalyptic number.

114314460 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 114314460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188225856).

114314460 is an abundant number, since it is smaller than the sum of its proper divisors (262137252).

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

114314460 is a wasteful number, since it uses less digits than its factorization.

114314460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 114314460 is about 10691.7940496439. The cubic root of 114314460 is about 485.3261843749.

Adding to 114314460 its reverse (64413411), we get a palindrome (178727871).

The spelling of 114314460 in words is "one hundred fourteen million, three hundred fourteen thousand, four hundred sixty".