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14306120 = 235357653
BaseRepresentation
bin110110100100…
…101101001000
3222220211022022
4312210231020
512130243440
61230344012
7232412543
oct66445510
928824268
1014306120
118091444
12495b008
132c6b87a
141c8585a
1513c8cb5
hexda4b48

14306120 has 16 divisors (see below), whose sum is σ = 32188860. Its totient is φ = 5722432.

The previous prime is 14306101. The next prime is 14306137. The reversal of 14306120 is 2160341.

It can be written as a sum of positive squares in 2 ways, for example, as 12974404 + 1331716 = 3602^2 + 1154^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 178787 + ... + 178866.

Almost surely, 214306120 is an apocalyptic number.

14306120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14306120 is an abundant number, since it is smaller than the sum of its proper divisors (17882740).

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

14306120 is a wasteful number, since it uses less digits than its factorization.

14306120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357664 (or 357660 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 14306120 is about 3782.3431890827. The cubic root of 14306120 is about 242.7582256576.

Adding to 14306120 its reverse (2160341), we get a palindrome (16466461).

The spelling of 14306120 in words is "fourteen million, three hundred six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 357653 715306 1430612 1788265 2861224 3576530 7153060 14306120