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130369536 = 2113211643
BaseRepresentation
bin1111100010101…
…00100000000000
3100002022110101100
413301110200000
5231333311121
620534134400
73142060053
oct761244000
9302273340
10130369536
1167654620
12377b1400
1321017a4b
1413458a9a
15b6a3026
hex7c54800

130369536 has 144 divisors (see below), whose sum is σ = 411400080. Its totient is φ = 39444480.

The previous prime is 130369531. The next prime is 130369553. The reversal of 130369536 is 635963031.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130369536.

It is not an unprimeable number, because it can be changed into a prime (130369531) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 202431 + ... + 203073.

It is an arithmetic number, because the mean of its divisors is an integer number (2856945).

Almost surely, 2130369536 is an apocalyptic number.

130369536 is a gapful number since it is divisible by the number (16) 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 130369536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205700040).

130369536 is an abundant number, since it is smaller than the sum of its proper divisors (281030544).

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

130369536 is a wasteful number, since it uses less digits than its factorization.

130369536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The square root of 130369536 is about 11417.9479767601. The cubic root of 130369536 is about 507.0592463705.

The spelling of 130369536 in words is "one hundred thirty million, three hundred sixty-nine thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 256 264 288 352 384 396 512 528 576 643 704 768 792 1024 1056 1152 1286 1408 1536 1584 1929 2048 2112 2304 2572 2816 3072 3168 3858 4224 4608 5144 5632 5787 6144 6336 7073 7716 8448 9216 10288 11264 11574 12672 14146 15432 16896 18432 20576 21219 22528 23148 25344 28292 30864 33792 41152 42438 46296 50688 56584 61728 63657 67584 82304 84876 92592 101376 113168 123456 127314 164608 169752 185184 202752 226336 246912 254628 329216 339504 370368 452672 493824 509256 658432 679008 740736 905344 987648 1018512 1316864 1358016 1481472 1810688 1975296 2037024 2716032 2962944 3621376 3950592 4074048 5432064 5925888 7242752 8148096 10864128 11851776 14485504 16296192 21728256 32592384 43456512 65184768 130369536