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130065078 = 231121313781
BaseRepresentation
bin1111100000010…
…10001010110110
3100001201222202010
413300022022312
5231244040303
620523425050
73136351323
oct760121266
9301658663
10130065078
1167466900
1237685186
1320c3c2b0
14133b9b4a
15b642c03
hex7c0a2b6

130065078 has 48 divisors (see below), whose sum is σ = 307945008. Its totient is φ = 36379200.

The previous prime is 130065077. The next prime is 130065083. The reversal of 130065078 is 870560031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130065071) 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 23 ways as a sum of consecutive naturals, for example, 2548 + ... + 16328.

It is an arithmetic number, because the mean of its divisors is an integer number (6415521).

Almost surely, 2130065078 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130065078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153972504).

130065078 is an abundant number, since it is smaller than the sum of its proper divisors (177879930).

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

130065078 is a wasteful number, since it uses less digits than its factorization.

130065078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13821 (or 13810 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 130065078 is about 11404.6077530093. The cubic root of 130065078 is about 506.6642190748.

The spelling of 130065078 in words is "one hundred thirty million, sixty-five thousand, seventy-eight".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 121 143 242 286 363 429 726 858 1573 3146 4719 9438 13781 27562 41343 82686 151591 179153 303182 358306 454773 537459 909546 1074918 1667501 1970683 3335002 3941366 5002503 5912049 10005006 11824098 21677513 43355026 65032539 130065078