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130054824 = 23322776521
BaseRepresentation
bin1111100000001…
…11101010101000
3100001201110200100
413300013222220
5231243223244
620523305400
73136306404
oct760075250
9301643610
10130054824
116745a129
123767b260
1320c37723
14133b6104
15b63eb69
hex7c07aa8

130054824 has 48 divisors (see below), whose sum is σ = 353557620. Its totient is φ = 43188480.

The previous prime is 130054823. The next prime is 130054843. The reversal of 130054824 is 428450031.

It can be written as a sum of positive squares in 2 ways, for example, as 129276900 + 777924 = 11370^2 + 882^2 .

It is not an unprimeable number, because it can be changed into a prime (130054823) 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, 16684 + ... + 23204.

Almost surely, 2130054824 is an apocalyptic number.

It is an amenable number.

130054824 is an abundant number, since it is smaller than the sum of its proper divisors (223502796).

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

130054824 is a wasteful number, since it uses less digits than its factorization.

130054824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6810 (or 6803 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 130054824 is about 11404.1581890116. The cubic root of 130054824 is about 506.6509040187.

The spelling of 130054824 in words is "one hundred thirty million, fifty-four thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 277 554 831 1108 1662 2216 2493 3324 4986 6521 6648 9972 13042 19563 19944 26084 39126 52168 58689 78252 117378 156504 234756 469512 1806317 3612634 5418951 7225268 10837902 14450536 16256853 21675804 32513706 43351608 65027412 130054824