Search a number
-
+
683206656 = 2113112919
BaseRepresentation
bin101000101110001…
…110100000000000
31202121120111100020
4220232032200000
52344400103111
6151443253440
722634106066
oct5056164000
91677514306
10683206656
1132071a300
1217097a280
13ab70c6c2
1466a46036
153eea6906
hex28b8e800

683206656 has 144 divisors (see below), whose sum is σ = 2004256800. Its totient is φ = 206807040.

The previous prime is 683206627. The next prime is 683206681. The reversal of 683206656 is 656602386.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 742965 + ... + 743883.

It is an arithmetic number, because the mean of its divisors is an integer number (13918450).

Almost surely, 2683206656 is an apocalyptic number.

683206656 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002128400).

683206656 is an abundant number, since it is smaller than the sum of its proper divisors (1321050144).

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

683206656 is a wasteful number, since it uses less digits than its factorization.

683206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The square root of 683206656 is about 26138.2221277577. Note that the first 3 decimals coincide. The cubic root of 683206656 is about 880.7460340257.

The spelling of 683206656 in words is "six hundred eighty-three million, two hundred six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 919 968 1024 1056 1408 1452 1536 1838 1936 2048 2112 2757 2816 2904 3072 3676 3872 4224 5514 5632 5808 6144 7352 7744 8448 10109 11028 11264 11616 14704 15488 16896 20218 22056 22528 23232 29408 30327 30976 33792 40436 44112 46464 58816 60654 61952 67584 80872 88224 92928 111199 117632 121308 123904 161744 176448 185856 222398 235264 242616 247808 323488 333597 352896 371712 444796 470528 485232 646976 667194 705792 743424 889592 941056 970464 1293952 1334388 1411584 1779184 1882112 1940928 2587904 2668776 2823168 3558368 3881856 5175808 5337552 5646336 7116736 7763712 10351616 10675104 14233472 15527424 20703232 21350208 28466944 31054848 42700416 56933888 62109696 85400832 113867776 170801664 227735552 341603328 683206656