Search a number
-
+
13180528 = 2419191227
BaseRepresentation
bin110010010001…
…111001110000
3220210122021201
4302101321300
511333234103
61150300544
7220014124
oct62217160
926718251
1013180528
1174927a9
1244b7754
13296643a
141a71584
15125551d
hexc91e70

13180528 has 40 divisors (see below), whose sum is σ = 27141120. Its totient is φ = 6183360.

The previous prime is 13180523. The next prime is 13180571. The reversal of 13180528 is 82508131.

It is a junction number, because it is equal to n+sod(n) for n = 13180496 and 13180505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13180523) 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, 57951 + ... + 58177.

It is an arithmetic number, because the mean of its divisors is an integer number (678528).

Almost surely, 213180528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13180528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13570560).

13180528 is an abundant number, since it is smaller than the sum of its proper divisors (13960592).

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

13180528 is a wasteful number, since it uses less digits than its factorization.

13180528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 13180528 is about 3630.4996901253. The cubic root of 13180528 is about 236.2168838365.

Adding to 13180528 its reverse (82508131), we get a palindrome (95688659).

The spelling of 13180528 in words is "thirteen million, one hundred eighty thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 191 227 304 382 454 764 908 1528 1816 3056 3629 3632 4313 7258 8626 14516 17252 29032 34504 43357 58064 69008 86714 173428 346856 693712 823783 1647566 3295132 6590264 13180528