Search a number
-
+
113528025 = 325213371049
BaseRepresentation
bin1101100010001…
…00110011011001
321220121211011200
412301010303121
5213030344100
615133144413
72545654332
oct661046331
9256554150
10113528025
11590a1316
123202b109
131a69c160
1411113289
159e77e00
hex6c44cd9

113528025 has 72 divisors (see below), whose sum is σ = 225115800. Its totient is φ = 54328320.

The previous prime is 113528003. The next prime is 113528027. The reversal of 113528025 is 520825311.

It is a happy number.

113528025 is a `hidden beast` number, since 113 + 528 + 0 + 25 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 7767369 + 105760656 = 2787^2 + 10284^2 .

It is not a de Polignac number, because 113528025 - 25 = 113527993 is a prime.

It is a super-2 number, since 2×1135280252 = 25777224920801250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113528025.

It is not an unprimeable number, because it can be changed into a prime (113528027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 107701 + ... + 108749.

Almost surely, 2113528025 is an apocalyptic number.

113528025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

113528025 is a deficient number, since it is larger than the sum of its proper divisors (111587775).

113528025 is a wasteful number, since it uses less digits than its factorization.

113528025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 113528025 is about 10654.9530735710. The cubic root of 113528025 is about 484.2106762749.

The spelling of 113528025 in words is "one hundred thirteen million, five hundred twenty-eight thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 37 39 45 65 75 111 117 185 195 225 325 333 481 555 585 925 975 1049 1443 1665 2405 2775 2925 3147 4329 5245 7215 8325 9441 12025 13637 15735 21645 26225 36075 38813 40911 47205 68185 78675 108225 116439 122733 194065 204555 236025 340925 349317 504569 582195 613665 970325 1022775 1513707 1746585 2522845 2910975 3068325 4541121 7568535 8732925 12614225 22705605 37842675 113528025