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115343040 = 2635137877
BaseRepresentation
bin1101101111111…
…11111011000000
322001001000220110
412313333323000
5214011434130
615240111320
72600254041
oct667777300
9261030813
10115343040
115a120a2a
1232765540
131ab86327
14114668c8
15a1d5ab0
hex6dffec0

115343040 has 112 divisors (see below), whose sum is σ = 369307872. Its totient is φ = 30498816.

The previous prime is 115343017. The next prime is 115343047. The reversal of 115343040 is 40343511.

It is a junction number, because it is equal to n+sod(n) for n = 115342998 and 115343016.

It is not an unprimeable number, because it can be changed into a prime (115343047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131082 + ... + 131958.

Almost surely, 2115343040 is an apocalyptic number.

115343040 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 115343040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184653936).

115343040 is an abundant number, since it is smaller than the sum of its proper divisors (253964832).

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

115343040 is a wasteful number, since it uses less digits than its factorization.

115343040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1034 (or 1024 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 115343040 is about 10739.7877073991. The cubic root of 115343040 is about 486.7774648169. Note that the first 3 decimals are identical.

Adding to 115343040 its reverse (40343511), we get a palindrome (155686551).

The spelling of 115343040 in words is "one hundred fifteen million, three hundred forty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 137 160 192 240 274 320 411 480 548 685 822 877 960 1096 1370 1644 1754 2055 2192 2631 2740 3288 3508 4110 4384 4385 5262 5480 6576 7016 8220 8768 8770 10524 10960 13152 13155 14032 16440 17540 21048 21920 26304 26310 28064 32880 35080 42096 43840 52620 56128 65760 70160 84192 105240 120149 131520 140320 168384 210480 240298 280640 360447 420960 480596 600745 720894 841920 961192 1201490 1441788 1802235 1922384 2402980 2883576 3604470 3844768 4805960 5767152 7208940 7689536 9611920 11534304 14417880 19223840 23068608 28835760 38447680 57671520 115343040