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115973 = 1113811
BaseRepresentation
bin11100010100000101
312220002022
4130110011
512202343
62252525
7662054
oct342405
9186068
10115973
117a150
1257145
1340a30
143039b
1524568
hex1c505

115973 has 8 divisors (see below), whose sum is σ = 136416. Its totient is φ = 97200.

The previous prime is 115963. The next prime is 115979. The reversal of 115973 is 379511.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-115973 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a plaindrome in base 15.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 115973.

It is not an unprimeable number, because it can be changed into a prime (115979) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 263 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (17052).

2115973 is an apocalyptic number.

115973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

115973 is a deficient number, since it is larger than the sum of its proper divisors (20443).

115973 is a wasteful number, since it uses less digits than its factorization.

115973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 835.

The product of its digits is 945, while the sum is 26.

The square root of 115973 is about 340.5480876470. The cubic root of 115973 is about 48.7662054386.

It can be divided in two parts, 11 and 5973, that multiplied together give a triangular number (65703 = T362).

The spelling of 115973 in words is "one hundred fifteen thousand, nine hundred seventy-three".

Divisors: 1 11 13 143 811 8921 10543 115973