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114416660 = 2253125953
BaseRepresentation
bin1101101000111…
…01110000010100
321222021222011002
412310131300110
5213242313120
615204202432
72556345161
oct664356024
9258258132
10114416660
1159648a26
1232399418
131a920787
14112a5068
15a0a1375
hex6d1dc14

114416660 has 36 divisors (see below), whose sum is σ = 248317524. Its totient is φ = 44282880.

The previous prime is 114416633. The next prime is 114416669. The reversal of 114416660 is 66614411.

It can be written as a sum of positive squares in 2 ways, for example, as 14776336 + 99640324 = 3844^2 + 9982^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114416669) 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 11 ways as a sum of consecutive naturals, for example, 16244 + ... + 22196.

It is an arithmetic number, because the mean of its divisors is an integer number (6897709).

Almost surely, 2114416660 is an apocalyptic number.

114416660 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 114416660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124158762).

114416660 is an abundant number, since it is smaller than the sum of its proper divisors (133900864).

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

114416660 is a wasteful number, since it uses less digits than its factorization.

114416660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6024 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 114416660 is about 10696.5723481871. The cubic root of 114416660 is about 485.4707725634.

The spelling of 114416660 in words is "one hundred fourteen million, four hundred sixteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 961 1922 3844 4805 5953 9610 11906 19220 23812 29765 59530 119060 184543 369086 738172 922715 1845430 3690860 5720833 11441666 22883332 28604165 57208330 114416660