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115516020 = 2235171091039
BaseRepresentation
bin1101110001010…
…10001001110100
322001100211012010
412320222021310
5214033003040
615243524220
72601604254
oct670521164
9261324163
10115516020
115a229994
1232829670
131ac16c99
14114ad964
15a21be80
hex6e2a274

115516020 has 96 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 28698624.

The previous prime is 115516001. The next prime is 115516043. The reversal of 115516020 is 20615511.

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 31 ways as a sum of consecutive naturals, for example, 110661 + ... + 111699.

It is an arithmetic number, because the mean of its divisors is an integer number (3603600).

Almost surely, 2115516020 is an apocalyptic number.

115516020 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 115516020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

115516020 is an abundant number, since it is smaller than the sum of its proper divisors (230429580).

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

115516020 is a wasteful number, since it uses less digits than its factorization.

115516020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 115516020 is about 10747.8379221125. The cubic root of 115516020 is about 487.0206833875.

It can be divided in two parts, 11551 and 6020, that added together give a palindrome (17571).

The spelling of 115516020 in words is "one hundred fifteen million, five hundred sixteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 109 170 204 218 255 327 340 436 510 545 654 1020 1039 1090 1308 1635 1853 2078 2180 3117 3270 3706 4156 5195 5559 6234 6540 7412 9265 10390 11118 12468 15585 17663 18530 20780 22236 27795 31170 35326 37060 52989 55590 62340 70652 88315 105978 111180 113251 176630 211956 226502 264945 339753 353260 453004 529890 566255 679506 1059780 1132510 1359012 1698765 1925267 2265020 3397530 3850534 5775801 6795060 7701068 9626335 11551602 19252670 23103204 28879005 38505340 57758010 115516020