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115020180 = 223251125281
BaseRepresentation
bin1101101101100…
…01000110010100
322000102122000200
412312301012110
5213421121210
615225140500
72564440542
oct666610624
9260378020
10115020180
1159a20400
123262a730
131aaa23a2
14113c0d92
15a1700c0
hex6db1194

115020180 has 108 divisors (see below), whose sum is σ = 383568276. Its totient is φ = 27878400.

The previous prime is 115020151. The next prime is 115020193. The reversal of 115020180 is 81020511.

It can be written as a sum of positive squares in 2 ways, for example, as 27185796 + 87834384 = 5214^2 + 9372^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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 35 ways as a sum of consecutive naturals, for example, 19140 + ... + 24420.

Almost surely, 2115020180 is an apocalyptic number.

115020180 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 115020180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191784138).

115020180 is an abundant number, since it is smaller than the sum of its proper divisors (268548096).

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

115020180 is a wasteful number, since it uses less digits than its factorization.

115020180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5318 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 115020180 is about 10724.7461508420. The cubic root of 115020180 is about 486.3228561451.

Adding to 115020180 its reverse (81020511), we get a palindrome (196040691).

The spelling of 115020180 in words is "one hundred fifteen million, twenty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 121 132 165 180 198 220 242 330 363 396 484 495 605 660 726 990 1089 1210 1452 1815 1980 2178 2420 3630 4356 5281 5445 7260 10562 10890 15843 21124 21780 26405 31686 47529 52810 58091 63372 79215 95058 105620 116182 158430 174273 190116 232364 237645 290455 316860 348546 475290 522819 580910 639001 697092 871365 950580 1045638 1161820 1278002 1742730 1917003 2091276 2556004 2614095 3195005 3485460 3834006 5228190 5751009 6390010 7668012 9585015 10456380 11502018 12780020 19170030 23004036 28755045 38340060 57510090 115020180