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514206 = 232721153
BaseRepresentation
bin1111101100010011110
3222010100200
41331202132
5112423311
615004330
74241100
oct1754236
9863320
10514206
11321370
122096a6
13150084
14d5570
15a2556
hex7d89e

514206 has 72 divisors (see below), whose sum is σ = 1440504. Its totient is φ = 131040.

The previous prime is 514201. The next prime is 514219. The reversal of 514206 is 602415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 9.

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 514206.

It is not an unprimeable number, because it can be changed into a prime (514201) by changing a digit.

514206 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9676 + ... + 9728.

It is an arithmetic number, because the mean of its divisors is an integer number (20007).

2514206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720252).

514206 is an abundant number, since it is smaller than the sum of its proper divisors (926298).

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

514206 is a wasteful number, since it uses less digits than its factorization.

514206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 514206 is about 717.0815853165. The cubic root of 514206 is about 80.1147312140.

Subtracting 514206 from its reverse (602415), we obtain a square (88209 = 2972).

The spelling of 514206 in words is "five hundred fourteen thousand, two hundred six".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 49 53 63 66 77 98 99 106 126 147 154 159 198 231 294 318 371 441 462 477 539 583 693 742 882 954 1078 1113 1166 1386 1617 1749 2226 2597 3234 3339 3498 4081 4851 5194 5247 6678 7791 8162 9702 10494 12243 15582 23373 24486 28567 36729 46746 57134 73458 85701 171402 257103 514206