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115165380 = 223511229547
BaseRepresentation
bin1101101110101…
…00100011000100
322000201000012110
412313110203010
5213440243010
615232221020
72565614061
oct667244304
9260630173
10115165380
115a00a500
123269a770
131ab234c5
141141bc68
15a19d120
hex6dd48c4

115165380 has 144 divisors (see below), whose sum is σ = 367335360. Its totient is φ = 26906880.

The previous prime is 115165363. The next prime is 115165387. The reversal of 115165380 is 83561511.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (115165387) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 210267 + ... + 210813.

It is an arithmetic number, because the mean of its divisors is an integer number (2550940).

Almost surely, 2115165380 is an apocalyptic number.

115165380 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 115165380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183667680).

115165380 is an abundant number, since it is smaller than the sum of its proper divisors (252169980).

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

115165380 is a wasteful number, since it uses less digits than its factorization.

115165380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The square root of 115165380 is about 10731.5134067847. The cubic root of 115165380 is about 486.5274126714.

The spelling of 115165380 in words is "one hundred fifteen million, one hundred sixty-five thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 121 132 145 165 174 220 242 290 319 330 348 363 435 484 547 580 605 638 660 726 870 957 1094 1210 1276 1452 1595 1641 1740 1815 1914 2188 2420 2735 3190 3282 3509 3630 3828 4785 5470 6017 6380 6564 7018 7260 8205 9570 10527 10940 12034 14036 15863 16410 17545 18051 19140 21054 24068 30085 31726 32820 35090 36102 42108 47589 52635 60170 63452 66187 70180 72204 79315 90255 95178 105270 120340 132374 158630 174493 180510 190356 198561 210540 237945 264748 317260 330935 348986 361020 397122 475890 523479 661870 697972 794244 872465 951780 992805 1046958 1323740 1744930 1919423 1985610 2093916 2617395 3489860 3838846 3971220 5234790 5758269 7677692 9597115 10469580 11516538 19194230 23033076 28791345 38388460 57582690 115165380