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130245120 = 293255653
BaseRepresentation
bin1111100001101…
…10001000000000
3100002002010201100
413300312020000
5231320320440
620531334400
73141031245
oct760661000
9302063640
10130245120
116757a0a5
1237751400
1320ca3225
14134255cc
15b67b230
hex7c36200

130245120 has 120 divisors (see below), whose sum is σ = 451155276. Its totient is φ = 34725888.

The previous prime is 130245097. The next prime is 130245121. The reversal of 130245120 is 21542031.

130245120 is a `hidden beast` number, since 130 + 24 + 512 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129413376 + 831744 = 11376^2 + 912^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130245093 and 130245102.

It is not an unprimeable number, because it can be changed into a prime (130245121) 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, 20214 + ... + 25866.

Almost surely, 2130245120 is an apocalyptic number.

130245120 is a gapful number since it is divisible by the number (10) 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 130245120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225577638).

130245120 is an abundant number, since it is smaller than the sum of its proper divisors (320910156).

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

130245120 is an equidigital number, since it uses as much as digits as its factorization.

130245120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5682 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 130245120 is about 11412.4984118290. The cubic root of 130245120 is about 506.8978938434.

Adding to 130245120 its reverse (21542031), we get a palindrome (151787151).

The spelling of 130245120 in words is "one hundred thirty million, two hundred forty-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5653 5760 7680 11306 11520 16959 22612 23040 28265 33918 45224 50877 56530 67836 84795 90448 101754 113060 135672 169590 180896 203508 226120 254385 271344 339180 361792 407016 452240 508770 542688 678360 723584 814032 904480 1017540 1085376 1356720 1447168 1628064 1808960 2035080 2170752 2713440 2894336 3256128 3617920 4070160 4341504 5426880 6512256 7235840 8140320 8683008 10853760 13024512 14471680 16280640 21707520 26049024 32561280 43415040 65122560 130245120