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115140 = 223519101
BaseRepresentation
bin11100000111000100
312211221110
4130013010
512141030
62245020
7656454
oct340704
9184843
10115140
1179563
1256770
134053c
142dd64
15241b0
hex1c1c4

115140 has 48 divisors (see below), whose sum is σ = 342720. Its totient is φ = 28800.

The previous prime is 115133. The next prime is 115151. The reversal of 115140 is 41511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1090 + ... + 1190.

It is an arithmetic number, because the mean of its divisors is an integer number (7140).

2115140 is an apocalyptic number.

115140 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 115140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171360).

115140 is an abundant number, since it is smaller than the sum of its proper divisors (227580).

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

115140 is a wasteful number, since it uses less digits than its factorization.

115140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

The square root of 115140 is about 339.3228551100. The cubic root of 115140 is about 48.6491669948.

Adding to 115140 its reverse (41511), we get a palindrome (156651).

It can be divided in two parts, 11 and 5140, that added together give a triangular number (5151 = T101).

The spelling of 115140 in words is "one hundred fifteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 1010 1140 1212 1515 1919 2020 3030 3838 5757 6060 7676 9595 11514 19190 23028 28785 38380 57570 115140