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131108560 = 24511383389
BaseRepresentation
bin1111101000010…
…00111011010000
3100010201000010121
413310020323100
5232030433220
621002040024
73151255462
oct764107320
9303630117
10131108560
1168009890
1237aa9014
132121623b
14135ac132
15b79beaa
hex7d08ed0

131108560 has 80 divisors (see below), whose sum is σ = 334264320. Its totient is φ = 47429120.

The previous prime is 131108519. The next prime is 131108587. The reversal of 131108560 is 65801131.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 336846 + ... + 337234.

It is an arithmetic number, because the mean of its divisors is an integer number (4178304).

Almost surely, 2131108560 is an apocalyptic number.

131108560 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 131108560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167132160).

131108560 is an abundant number, since it is smaller than the sum of its proper divisors (203155760).

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

131108560 is a wasteful number, since it uses less digits than its factorization.

131108560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 131108560 is about 11450.2646257630. The cubic root of 131108560 is about 508.0155615544.

Adding to 131108560 its reverse (65801131), we get a palindrome (196909691).

The spelling of 131108560 in words is "one hundred thirty-one million, one hundred eight thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 383 389 440 766 778 880 1532 1556 1915 1945 3064 3112 3830 3890 4213 4279 6128 6224 7660 7780 8426 8558 15320 15560 16852 17116 21065 21395 30640 31120 33704 34232 42130 42790 67408 68464 84260 85580 148987 168520 171160 297974 337040 342320 595948 744935 1191896 1489870 1638857 2383792 2979740 3277714 5959480 6555428 8194285 11918960 13110856 16388570 26221712 32777140 65554280 131108560