Search a number
-
+
6679056930 = 2357134195839
BaseRepresentation
bin1100011100001101…
…00101001000100010
3122020110211020122220
412032012211020202
5102134314310210
63022431211510
7324341022120
oct61606451042
918213736586
106679056930
112918176367
121364976b96
138259846c0
14475094910
1529156ec70
hex18e1a5222

6679056930 has 128 divisors (see below), whose sum is σ = 19779379200. Its totient is φ = 1405603584.

The previous prime is 6679056913. The next prime is 6679056931. The reversal of 6679056930 is 396509766.

It is not an unprimeable number, because it can be changed into a prime (6679056931) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1140951 + ... + 1146789.

It is an arithmetic number, because the mean of its divisors is an integer number (154526400).

Almost surely, 26679056930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6679056930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9889689600).

6679056930 is an abundant number, since it is smaller than the sum of its proper divisors (13100322270).

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

6679056930 is a wasteful number, since it uses less digits than its factorization.

6679056930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288.

The product of its (nonzero) digits is 1837080, while the sum is 51.

The square root of 6679056930 is about 81725.4974288930. The cubic root of 6679056930 is about 1883.2373045946.

The spelling of 6679056930 in words is "six billion, six hundred seventy-nine million, fifty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 182 195 210 273 390 419 455 546 838 910 1257 1365 2095 2514 2730 2933 4190 5447 5839 5866 6285 8799 10894 11678 12570 14665 16341 17517 17598 27235 29195 29330 32682 35034 38129 40873 43995 54470 58390 75907 76258 81705 81746 87585 87990 114387 122619 151814 163410 175170 190645 204365 227721 228774 245238 379535 381290 408730 455442 531349 571935 613095 759070 1062698 1138605 1143870 1226190 1594047 2277210 2446541 2656745 3188094 4893082 5313490 7339623 7970235 12232705 14679246 15940470 17125787 24465410 31805033 34251574 36698115 51377361 63610066 73396230 85628935 95415099 102754722 159025165 171257870 190830198 222635231 256886805 318050330 445270462 477075495 513773610 667905693 954150990 1113176155 1335811386 2226352310 3339528465 6679056930