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679414890 = 235721142017
BaseRepresentation
bin101000011111110…
…000110001101010
31202100102212000110
4220133300301222
52342412234030
6151230115150
722556634300
oct5037606152
91670385013
10679414890
1131956a510
1216b64bab6
13aa9b285b
146633a270
153e9a81b0
hex287f0c6a

679414890 has 96 divisors (see below), whose sum is σ = 2069302464. Its totient is φ = 141173760.

The previous prime is 679414861. The next prime is 679414919. The reversal of 679414890 is 98414976.

679414890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (679414861) and next prime (679414919).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4839 + ... + 37178.

It is an arithmetic number, because the mean of its divisors is an integer number (21555234).

Almost surely, 2679414890 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679414890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034651232).

679414890 is an abundant number, since it is smaller than the sum of its proper divisors (1389887574).

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

679414890 is a wasteful number, since it uses less digits than its factorization.

679414890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42052 (or 42045 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 48.

The square root of 679414890 is about 26065.5882342985. The cubic root of 679414890 is about 879.1136435257.

The spelling of 679414890 in words is "six hundred seventy-nine million, four hundred fourteen thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 49 55 66 70 77 98 105 110 147 154 165 210 231 245 294 330 385 462 490 539 735 770 1078 1155 1470 1617 2310 2695 3234 5390 8085 16170 42017 84034 126051 210085 252102 294119 420170 462187 588238 630255 882357 924374 1260510 1386561 1470595 1764714 2058833 2310935 2773122 2941190 3235309 4117666 4411785 4621870 6176499 6470618 6932805 8823570 9705927 10294165 12352998 13865610 16176545 19411854 20588330 22647163 30882495 32353090 45294326 48529635 61764990 67941489 97059270 113235815 135882978 226471630 339707445 679414890