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115313058 = 2347611667
BaseRepresentation
bin1101101111110…
…00100110100010
322000222111210000
412313320212202
5214010004213
615235320430
72600100450
oct667704642
9260874700
10115313058
115a100453
1232750116
131ab757a3
14114599d0
15a1cbc73
hex6df89a2

115313058 has 80 divisors (see below), whose sum is σ = 300320064. Its totient is φ = 32387040.

The previous prime is 115313039. The next prime is 115313059. The reversal of 115313058 is 850313511.

It is a super-3 number, since 3×1153130583 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (115313059) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 68341 + ... + 70007.

Almost surely, 2115313058 is an apocalyptic number.

115313058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115313058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150160032).

115313058 is an abundant number, since it is smaller than the sum of its proper divisors (185007006).

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

115313058 is a wasteful number, since it uses less digits than its factorization.

115313058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1740 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 115313058 is about 10738.3917790328. The cubic root of 115313058 is about 486.7352838968.

Adding to 115313058 its reverse (850313511), we get a palindrome (965626569).

The spelling of 115313058 in words is "one hundred fifteen million, three hundred thirteen thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 61 63 81 122 126 162 183 189 366 378 427 549 567 854 1098 1134 1281 1647 1667 2562 3294 3334 3843 4941 5001 7686 9882 10002 11529 11669 15003 23058 23338 30006 34587 35007 45009 69174 70014 90018 101687 105021 135027 203374 210042 270054 305061 315063 610122 630126 711809 915183 945189 1423618 1830366 1890378 2135427 2745549 4270854 5491098 6406281 8236647 12812562 16473294 19218843 38437686 57656529 115313058