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115128 = 23331341
BaseRepresentation
bin11100000110111000
312211221000
4130012320
512141003
62245000
7656436
oct340670
9184830
10115128
1179552
1256760
1340530
142dd56
15241a3
hex1c1b8

115128 has 64 divisors (see below), whose sum is σ = 352800. Its totient is φ = 34560.

The previous prime is 115127. The next prime is 115133. The reversal of 115128 is 821511.

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

It is a self number, because there is not a number n which added to its sum of digits gives 115128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115123) 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, 2788 + ... + 2828.

2115128 is an apocalyptic number.

115128 is a gapful number since it is divisible by the number (18) 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 115128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176400).

115128 is an abundant number, since it is smaller than the sum of its proper divisors (237672).

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

115128 is a wasteful number, since it uses less digits than its factorization.

115128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 59 counting only the distinct ones).

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

The square root of 115128 is about 339.3051723744. The cubic root of 115128 is about 48.6474768487.

Adding to 115128 its reverse (821511), we get a palindrome (936639).

It can be divided in two parts, 115 and 128, that added together give a 5-th power (243 = 35).

The spelling of 115128 in words is "one hundred fifteen thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 41 52 54 72 78 82 104 108 117 123 156 164 216 234 246 312 328 351 369 468 492 533 702 738 936 984 1066 1107 1404 1476 1599 2132 2214 2808 2952 3198 4264 4428 4797 6396 8856 9594 12792 14391 19188 28782 38376 57564 115128