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14306130 = 2325413877
BaseRepresentation
bin110110100100…
…101101010010
3222220211022200
4312210231102
512130244010
61230344030
7232412556
oct66445522
928824280
1014306130
118091453
12495b016
132c6b887
141c85866
1513c8cc0
hexda4b52

14306130 has 48 divisors (see below), whose sum is σ = 38112984. Its totient is φ = 3720960.

The previous prime is 14306101. The next prime is 14306137. The reversal of 14306130 is 3160341.

14306130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 5890329 + 8415801 = 2427^2 + 2901^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (14306137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1752 + ... + 5628.

Almost surely, 214306130 is an apocalyptic number.

14306130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14306130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19056492).

14306130 is an abundant number, since it is smaller than the sum of its proper divisors (23806854).

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

14306130 is a wasteful number, since it uses less digits than its factorization.

14306130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3931 (or 3928 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 14306130 is about 3782.3445110143. The cubic root of 14306130 is about 242.7582822203.

Adding to 14306130 its reverse (3160341), we get a palindrome (17466471).

The spelling of 14306130 in words is "fourteen million, three hundred six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 3877 7754 11631 19385 23262 34893 38770 58155 69786 116310 158957 174465 317914 348930 476871 794785 953742 1430613 1589570 2384355 2861226 4768710 7153065 14306130