Search a number
-
+
683890680 = 233511518099
BaseRepresentation
bin101000110000110…
…101011111111000
31202122212020122110
4220300311133320
52400034000210
6151510052320
722642655244
oct5060653770
91678766573
10683890680
11321047210
1217104a0a0
13ab8bbb55
1466b83424
154008e420
hex28c357f8

683890680 has 64 divisors (see below), whose sum is σ = 2238192000. Its totient is φ = 165791360.

The previous prime is 683890679. The next prime is 683890687. The reversal of 683890680 is 86098386.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683890687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257730 + ... + 260369.

It is an arithmetic number, because the mean of its divisors is an integer number (34971750).

Almost surely, 2683890680 is an apocalyptic number.

683890680 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

683890680 is an abundant number, since it is smaller than the sum of its proper divisors (1554301320).

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

683890680 is a wasteful number, since it uses less digits than its factorization.

683890680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518124 (or 518120 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 683890680 is about 26151.3036003944. The cubic root of 683890680 is about 881.0398692190.

The spelling of 683890680 in words is "six hundred eighty-three million, eight hundred ninety thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 518099 1036198 1554297 2072396 2590495 3108594 4144792 5180990 5699089 6217188 7771485 10361980 11398178 12434376 15542970 17097267 20723960 22796356 28495445 31085940 34194534 45592712 56990890 62171880 68389068 85486335 113981780 136778136 170972670 227963560 341945340 683890680