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115580993 = 1116016563
BaseRepresentation
bin1101110001110…
…10000001000001
322001111010022112
412320322001001
5214042042433
615245145105
72602264553
oct670720101
9261433275
10115580993
115a273790
123285b195
131ac3a728
14114c94d3
15a231348
hex6e3a041

115580993 has 8 divisors (see below), whose sum is σ = 126186336. Its totient is φ = 104992000.

The previous prime is 115580981. The next prime is 115580999. The reversal of 115580993 is 399085511.

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

It is a cyclic number.

It is not a de Polignac number, because 115580993 - 224 = 98803777 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 115580993.

It is not an unprimeable number, because it can be changed into a prime (115580999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14330 + ... + 20892.

It is an arithmetic number, because the mean of its divisors is an integer number (15773292).

Almost surely, 2115580993 is an apocalyptic number.

It is an amenable number.

115580993 is a deficient number, since it is larger than the sum of its proper divisors (10605343).

115580993 is a wasteful number, since it uses less digits than its factorization.

115580993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8175.

The product of its (nonzero) digits is 48600, while the sum is 41.

The square root of 115580993 is about 10750.8601051265. The cubic root of 115580993 is about 487.1119759604. Note that the first 3 decimals are identical.

The spelling of 115580993 in words is "one hundred fifteen million, five hundred eighty thousand, nine hundred ninety-three".

Divisors: 1 11 1601 6563 17611 72193 10507363 115580993