Search a number
-
+
686230416 = 2432372592
BaseRepresentation
bin101000111001110…
…000101110010000
31202211021010011100
4220321300232100
52401133333131
6152032144400
723001601524
oct5071605620
91684233140
10686230416
113223a5083
12171998100
13ac22ab01
14671d1d84
15403a27e6
hex28e70b90

686230416 has 135 divisors (see below), whose sum is σ = 2007821361. Its totient is φ = 218788992.

The previous prime is 686230399. The next prime is 686230427. The reversal of 686230416 is 614032686.

The square root of 686230416 is 26196.

It is a perfect power (a square), and thus also a powerful number.

686230416 is a `hidden beast` number, since 6 + 8 + 6 + 230 + 416 = 666.

It can be written as a sum of positive squares in only one way, i.e., 614048400 + 72182016 = 24780^2 + 8496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11630995 + ... + 11631053.

Almost surely, 2686230416 is an apocalyptic number.

686230416 is the 26196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686230416

686230416 is an abundant number, since it is smaller than the sum of its proper divisors (1321590945).

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

686230416 is a wasteful number, since it uses less digits than its factorization.

686230416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The cubic root of 686230416 is about 882.0434673998.

Multiplying 686230416 by its sum of digits (36), we get a square (24704294976 = 1571762).

686230416 divided by its sum of digits (36) gives a square (19061956 = 43662).

The spelling of 686230416 in words is "six hundred eighty-six million, two hundred thirty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 59 72 74 111 118 144 148 177 222 236 296 333 354 444 472 531 592 666 708 888 944 1062 1332 1369 1416 1776 2124 2183 2664 2738 2832 3481 4107 4248 4366 5328 5476 6549 6962 8214 8496 8732 10443 10952 12321 13098 13924 16428 17464 19647 20886 21904 24642 26196 27848 31329 32856 34928 39294 41772 49284 52392 55696 62658 65712 78588 80771 83544 98568 104784 125316 128797 157176 161542 167088 197136 242313 250632 257594 314352 323084 386391 484626 501264 515188 646168 726939 772782 969252 1030376 1159173 1292336 1453878 1545564 1938504 2060752 2318346 2907756 3091128 3877008 4636692 4765489 5815512 6182256 9273384 9530978 11631024 14296467 18546768 19061956 28592934 38123912 42889401 57185868 76247824 85778802 114371736 171557604 228743472 343115208 686230416