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13130580 = 2235218843
BaseRepresentation
bin110010000101…
…101101010100
3220201002202210
4302011231110
511330134310
61145233420
7216415401
oct62055524
926632683
1013130580
117459221
124492870
132949798
141a5b2a8
151245820
hexc85b54

13130580 has 24 divisors (see below), whose sum is σ = 36765792. Its totient is φ = 3501472.

The previous prime is 13130573. The next prime is 13130581. The reversal of 13130580 is 8503131.

It is a happy number.

It is a super-3 number, since 3×131305803 (a number of 22 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13130581) 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, 109362 + ... + 109481.

It is an arithmetic number, because the mean of its divisors is an integer number (1531908).

Almost surely, 213130580 is an apocalyptic number.

13130580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13130580 is an abundant number, since it is smaller than the sum of its proper divisors (23635212).

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

13130580 is a wasteful number, since it uses less digits than its factorization.

13130580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218855 (or 218853 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 13130580 is about 3623.6142178770. The cubic root of 13130580 is about 235.9181225113.

The spelling of 13130580 in words is "thirteen million, one hundred thirty thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 218843 437686 656529 875372 1094215 1313058 2188430 2626116 3282645 4376860 6565290 13130580