Search a number
-
+
686910096 = 243259233347
BaseRepresentation
bin101000111100010…
…110101010010000
31202212112122111200
4220330112222100
52401322110341
6152054511200
723010432225
oct5074265220
91685478450
10686910096
113228197a4
12172065500
13ac4082a2
146732b94c
1540488db6
hex28f16a90

686910096 has 120 divisors (see below), whose sum is σ = 1969025760. Its totient is φ = 223477248.

The previous prime is 686910089. The next prime is 686910131. The reversal of 686910096 is 690019686.

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 23 ways as a sum of consecutive naturals, for example, 1979395 + ... + 1979741.

It is an arithmetic number, because the mean of its divisors is an integer number (16408548).

Almost surely, 2686910096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 686910096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984512880).

686910096 is an abundant number, since it is smaller than the sum of its proper divisors (1282115664).

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

686910096 is a wasteful number, since it uses less digits than its factorization.

686910096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 686910096 is about 26208.9697622780. The cubic root of 686910096 is about 882.3345792822.

The spelling of 686910096 in words is "six hundred eighty-six million, nine hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 233 236 347 354 466 472 531 694 699 708 932 944 1041 1062 1388 1398 1416 1864 2082 2097 2124 2776 2796 2832 3123 3728 4164 4194 4248 5552 5592 6246 8328 8388 8496 11184 12492 13747 16656 16776 20473 24984 27494 33552 40946 41241 49968 54988 61419 80851 81892 82482 109976 122838 123723 161702 163784 164964 184257 219952 242553 245676 247446 323404 327568 329928 368514 485106 491352 494892 646808 659856 727659 737028 970212 982704 989784 1293616 1455318 1474056 1940424 1979568 2910636 2948112 3880848 4770209 5821272 9540418 11642544 14310627 19080836 28621254 38161672 42931881 57242508 76323344 85863762 114485016 171727524 228970032 343455048 686910096