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287113 = 1716889
BaseRepresentation
bin1000110000110001001
3112120211211
41012012021
533141423
610053121
72304031
oct1060611
9476754
10287113
11186792
1211a1a1
13a08b8
14768c1
155a10d
hex46189

287113 has 4 divisors (see below), whose sum is σ = 304020. Its totient is φ = 270208.

The previous prime is 287107. The next prime is 287117. The reversal of 287113 is 311782.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 311782 = 2155891.

It can be written as a sum of positive squares in 2 ways, for example, as 100489 + 186624 = 317^2 + 432^2 .

It is a cyclic number.

It is not a de Polignac number, because 287113 - 217 = 156041 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (287117) 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 3 ways as a sum of consecutive naturals, for example, 8428 + ... + 8461.

It is an arithmetic number, because the mean of its divisors is an integer number (76005).

2287113 is an apocalyptic number.

It is an amenable number.

287113 is a deficient number, since it is larger than the sum of its proper divisors (16907).

287113 is a wasteful number, since it uses less digits than its factorization.

287113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16906.

The product of its digits is 336, while the sum is 22.

The square root of 287113 is about 535.8292638518. The cubic root of 287113 is about 65.9706787418.

Adding to 287113 its reverse (311782), we get a palindrome (598895).

It can be divided in two parts, 287 and 113, that added together give a square (400 = 202).

The spelling of 287113 in words is "two hundred eighty-seven thousand, one hundred thirteen".

Divisors: 1 17 16889 287113