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114257585 = 5131757809
BaseRepresentation
bin1101100111101…
…10111010110001
321221222212221102
412303312322301
5213222220320
615200534145
72555113331
oct663667261
9257885842
10114257585
115954a462
1232321355
131a896250
14112630c1
15a06e175
hex6cf6eb1

114257585 has 8 divisors (see below), whose sum is σ = 147656040. Its totient is φ = 84374784.

The previous prime is 114257581. The next prime is 114257587. The reversal of 114257585 is 585752411.

It can be written as a sum of positive squares in 4 ways, for example, as 3418801 + 110838784 = 1849^2 + 10528^2 .

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

It is not a de Polignac number, because 114257585 - 22 = 114257581 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114257581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 878840 + ... + 878969.

It is an arithmetic number, because the mean of its divisors is an integer number (18457005).

Almost surely, 2114257585 is an apocalyptic number.

It is an amenable number.

114257585 is a deficient number, since it is larger than the sum of its proper divisors (33398455).

114257585 is a wasteful number, since it uses less digits than its factorization.

114257585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757827.

The product of its digits is 56000, while the sum is 38.

The square root of 114257585 is about 10689.1339686618. The cubic root of 114257585 is about 485.2456827312.

The spelling of 114257585 in words is "one hundred fourteen million, two hundred fifty-seven thousand, five hundred eighty-five".

Divisors: 1 5 13 65 1757809 8789045 22851517 114257585