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514386 = 23217412
BaseRepresentation
bin1111101100101010010
3222010121100
41331211102
5112430021
615005230
74241445
oct1754522
9863540
10514386
11321514
12209816
13150192
14d565c
15a2626
hex7d952

514386 has 36 divisors (see below), whose sum is σ = 1209546. Its totient is φ = 157440.

The previous prime is 514379. The next prime is 514399. The reversal of 514386 is 683415.

514386 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 245025 + 269361 = 495^2 + 519^2 .

It is a super-3 number, since 3×5143863 = 408308738332033368, which contains 333 as substring.

It is a Curzon number.

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 514386.

It is an unprimeable number.

514386 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 17 ways as a sum of consecutive naturals, for example, 12526 + ... + 12566.

2514386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604773).

514386 is an abundant number, since it is smaller than the sum of its proper divisors (695160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

514386 is a wasteful number, since it uses less digits than its factorization.

514386 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 63 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 514386 is about 717.2070830660. The cubic root of 514386 is about 80.1240782911.

It can be divided in two parts, 514 and 386, that added together give a square (900 = 302).

The spelling of 514386 in words is "five hundred fourteen thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 17 18 34 41 51 82 102 123 153 246 306 369 697 738 1394 1681 2091 3362 4182 5043 6273 10086 12546 15129 28577 30258 57154 85731 171462 257193 514386