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130344544 = 25113531049
BaseRepresentation
bin1111100010011…
…10011001100000
3100002021012002201
413301032121200
5231332011134
620533422544
73141624151
oct761163140
9302235081
10130344544
1167637870
123779aa54
1321009565
141344d928
15b69a914
hex7c4e660

130344544 has 48 divisors (see below), whose sum is σ = 281005200. Its totient is φ = 59023360.

The previous prime is 130344521. The next prime is 130344563. The reversal of 130344544 is 445443031.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 123732 + ... + 124780.

It is an arithmetic number, because the mean of its divisors is an integer number (5854275).

Almost surely, 2130344544 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 130344544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140502600).

130344544 is an abundant number, since it is smaller than the sum of its proper divisors (150660656).

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

130344544 is a wasteful number, since it uses less digits than its factorization.

130344544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1423 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 130344544 is about 11416.8535069869. The cubic root of 130344544 is about 507.0268430066.

Adding to 130344544 its reverse (445443031), we get a palindrome (575787575).

It can be divided in two parts, 13034 and 4544, that added together give a triangular number (17578 = T187).

The spelling of 130344544 in words is "one hundred thirty million, three hundred forty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 353 706 1049 1412 2098 2824 3883 4196 5648 7766 8392 11296 11539 15532 16784 23078 31064 33568 46156 62128 92312 124256 184624 369248 370297 740594 1481188 2962376 4073267 5924752 8146534 11849504 16293068 32586136 65172272 130344544