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1306500120 = 233253629167
BaseRepresentation
bin100110111011111…
…1001110000011000
310101001102002020100
41031313321300120
510133431000440
6333350455400
744243032152
oct11567716030
93331362210
101306500120
11610537972
12305664560
1317a8a27c3
14c5733ad2
1579a76230
hex4ddf9c18

1306500120 has 48 divisors (see below), whose sum is σ = 4246126560. Its totient is φ = 348399936.

The previous prime is 1306500113. The next prime is 1306500127. The reversal of 1306500120 is 210056031.

1306500120 is a `hidden beast` number, since 1 + 3 + 0 + 650 + 0 + 12 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1306500113) and next prime (1306500127).

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 = 1306500093 and 1306500102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306500127) 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 11 ways as a sum of consecutive naturals, for example, 1814224 + ... + 1814943.

It is an arithmetic number, because the mean of its divisors is an integer number (88460970).

Almost surely, 21306500120 is an apocalyptic number.

1306500120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1306500120 is an abundant number, since it is smaller than the sum of its proper divisors (2939626440).

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

1306500120 is a wasteful number, since it uses less digits than its factorization.

1306500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3629184 (or 3629177 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 1306500120 is about 36145.5408038115. The cubic root of 1306500120 is about 1093.2088814158.

Adding to 1306500120 its reverse (210056031), we get a palindrome (1516556151).

The spelling of 1306500120 in words is "one billion, three hundred six million, five hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 3629167 7258334 10887501 14516668 18145835 21775002 29033336 32662503 36291670 43550004 54437505 65325006 72583340 87100008 108875010 130650012 145166680 163312515 217750020 261300024 326625030 435500040 653250060 1306500120