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115360 = 2557103
BaseRepresentation
bin11100001010100000
312212020121
4130022200
512142420
62250024
7660220
oct341240
9185217
10115360
1179743
1256914
134067b
1430080
15242aa
hex1c2a0

115360 has 48 divisors (see below), whose sum is σ = 314496. Its totient is φ = 39168.

The previous prime is 115343. The next prime is 115361. The reversal of 115360 is 63511.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115361) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1069 + ... + 1171.

It is an arithmetic number, because the mean of its divisors is an integer number (6552).

2115360 is an apocalyptic number.

115360 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 115360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248).

115360 is an abundant number, since it is smaller than the sum of its proper divisors (199136).

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

115360 is a wasteful number, since it uses less digits than its factorization.

115360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 115360 is about 339.6468754457. The cubic root of 115360 is about 48.6801322177.

Adding to 115360 its reverse (63511), we get a palindrome (178871).

The spelling of 115360 in words is "one hundred fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 103 112 140 160 206 224 280 412 515 560 721 824 1030 1120 1442 1648 2060 2884 3296 3605 4120 5768 7210 8240 11536 14420 16480 23072 28840 57680 115360