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115591 = 73337
BaseRepresentation
bin11100001110000111
312212120011
4130032013
512144331
62251051
7661000
oct341607
9185504
10115591
1179933
1256a87
13407c8
14301a7
15243b1
hex1c387

115591 has 8 divisors (see below), whose sum is σ = 135200. Its totient is φ = 98784.

The previous prime is 115589. The next prime is 115597. The reversal of 115591 is 195511.

115591 is nontrivially palindromic in base 2.

It is not a de Polignac number, because 115591 - 21 = 115589 is a prime.

It is a super-3 number, since 3×1155913 = 4633330900110213, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an Ulam number.

It is a Duffinian number.

115591 is a lucky number.

It is a nialpdrome in base 7.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115597) 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, 175 + ... + 511.

It is an arithmetic number, because the mean of its divisors is an integer number (16900).

2115591 is an apocalyptic number.

115591 is a deficient number, since it is larger than the sum of its proper divisors (19609).

115591 is an frugal number, since it uses more digits than its factorization.

115591 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 344 counting only the distinct ones).

The product of its digits is 225, while the sum is 22.

The square root of 115591 is about 339.9867644483. The cubic root of 115591 is about 48.7126033603.

The spelling of 115591 in words is "one hundred fifteen thousand, five hundred ninety-one".

Divisors: 1 7 49 337 343 2359 16513 115591