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130787052 = 2231117167349
BaseRepresentation
bin1111100101110…
…10011011101100
3100010002200002220
413302322123230
5231440141202
620551115340
73145446234
oct762723354
9303080086
10130787052
116790a280
1237972b50
1321132ab6
1413526cc4
15b736abc
hex7cba6ec

130787052 has 96 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 36971520.

The previous prime is 130787023. The next prime is 130787053. The reversal of 130787052 is 250787031.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (130787053) 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 31 ways as a sum of consecutive naturals, for example, 374574 + ... + 374922.

It is an arithmetic number, because the mean of its divisors is an integer number (3704400).

Almost surely, 2130787052 is an apocalyptic number.

130787052 is a gapful number since it is divisible by the number (12) 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 130787052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

130787052 is an abundant number, since it is smaller than the sum of its proper divisors (224835348).

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

130787052 is a wasteful number, since it uses less digits than its factorization.

130787052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 549 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The square root of 130787052 is about 11436.2166821025. The cubic root of 130787052 is about 507.5999651010.

The spelling of 130787052 in words is "one hundred thirty million, seven hundred eighty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 167 187 204 334 349 374 501 561 668 698 748 1002 1047 1122 1396 1837 2004 2094 2244 2839 3674 3839 4188 5511 5678 5933 7348 7678 8517 11022 11356 11517 11866 15356 17034 17799 22044 23034 23732 31229 34068 35598 46068 58283 62458 65263 71196 93687 116566 124916 130526 174849 187374 195789 233132 261052 349698 374748 391578 641113 699396 783156 990811 1282226 1923339 1981622 2564452 2972433 3846678 3963244 5944866 7693356 10898921 11889732 21797842 32696763 43595684 65393526 130787052