Search a number
-
+
131026524 = 22329715303
BaseRepresentation
bin1111100111101…
…00111001011100
3100010112211121020
413303310321130
5232020322044
621000204140
73150464346
oct763647134
9303484536
10131026524
1167a63192
1237a69650
13211b7ab5
141358a296
15b782a19
hex7cf4e5c

131026524 has 48 divisors (see below), whose sum is σ = 320785920. Its totient is φ = 41567680.

The previous prime is 131026523. The next prime is 131026537. The reversal of 131026524 is 425620131.

It is a junction number, because it is equal to n+sod(n) for n = 131026494 and 131026503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131026523) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22057 + ... + 27359.

It is an arithmetic number, because the mean of its divisors is an integer number (6683040).

Almost surely, 2131026524 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 131026524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160392960).

131026524 is an abundant number, since it is smaller than the sum of its proper divisors (189759396).

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

131026524 is a wasteful number, since it uses less digits than its factorization.

131026524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5410 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 131026524 is about 11446.6817899337. The cubic root of 131026524 is about 507.9095825603.

Adding to 131026524 its reverse (425620131), we get a palindrome (556646655).

The spelling of 131026524 in words is "one hundred thirty-one million, twenty-six thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 4118 5303 6177 8236 10606 12354 15909 21212 24708 31818 63636 153787 307574 376513 461361 615148 753026 922722 1129539 1506052 1845444 2259078 4518156 10918877 21837754 32756631 43675508 65513262 131026524