Search a number
-
+
131425360 = 24511213577
BaseRepresentation
bin1111101010101…
…10010001010000
3100011022002200221
413311112101100
5232121102420
621012522424
73154045213
oct765262120
9304262627
10131425360
1168205900
1238020414
13212c74b1
141365177a
15b810caa
hex7d56450

131425360 has 60 divisors (see below), whose sum is σ = 335892564. Its totient is φ = 47787520.

The previous prime is 131425339. The next prime is 131425363. The reversal of 131425360 is 63524131.

It can be written as a sum of positive squares in 2 ways, for example, as 94556176 + 36869184 = 9724^2 + 6072^2 .

It is a super-2 number, since 2×1314253602 = 34545250502259200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131425363) 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 11 ways as a sum of consecutive naturals, for example, 2892 + ... + 16468.

Almost surely, 2131425360 is an apocalyptic number.

131425360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131425360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167946282).

131425360 is an abundant number, since it is smaller than the sum of its proper divisors (204467204).

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

131425360 is a wasteful number, since it uses less digits than its factorization.

131425360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13612 (or 13595 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 131425360 is about 11464.0900205817. The cubic root of 131425360 is about 508.4244081793.

Adding to 131425360 its reverse (63524131), we get a palindrome (194949491).

The spelling of 131425360 in words is "one hundred thirty-one million, four hundred twenty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 13577 27154 54308 67885 108616 135770 149347 217232 271540 298694 543080 597388 746735 1086160 1194776 1493470 1642817 2389552 2986940 3285634 5973880 6571268 8214085 11947760 13142536 16428170 26285072 32856340 65712680 131425360