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13728130 = 2513105601
BaseRepresentation
bin110100010111…
…100110000010
3221211110110021
4310113212002
512003300010
61210124054
7224454463
oct64274602
927743407
1013728130
117827169
12472062a
132ac8770
141b74d6a
1513128da
hexd17982

13728130 has 16 divisors (see below), whose sum is σ = 26611704. Its totient is φ = 5068800.

The previous prime is 13728109. The next prime is 13728139. The reversal of 13728130 is 3182731.

It can be written as a sum of positive squares in 4 ways, for example, as 12173121 + 1555009 = 3489^2 + 1247^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13728095 and 13728104.

It is not an unprimeable number, because it can be changed into a prime (13728139) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 52671 + ... + 52930.

Almost surely, 213728130 is an apocalyptic number.

13728130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13728130 is a deficient number, since it is larger than the sum of its proper divisors (12883574).

13728130 is a wasteful number, since it uses less digits than its factorization.

13728130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105621.

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 13728130 is about 3705.1491198061. The cubic root of 13728130 is about 239.4439092673.

The spelling of 13728130 in words is "thirteen million, seven hundred twenty-eight thousand, one hundred thirty".

Divisors: 1 2 5 10 13 26 65 130 105601 211202 528005 1056010 1372813 2745626 6864065 13728130