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679630590 = 2325171133931
BaseRepresentation
bin101000100000100…
…101011011111110
31202100211210220100
4220200211123332
52342441134330
6151234501530
722561523202
oct5040453376
91670753810
10679630590
113196a7581
1216b7348a6
13aaa59aa2
1466394b02
153e9ec060
hex288256fe

679630590 has 96 divisors (see below), whose sum is σ = 1888020576. Its totient is φ = 169021440.

The previous prime is 679630583. The next prime is 679630603. The reversal of 679630590 is 95036976.

679630590 is a `hidden beast` number, since 6 + 7 + 9 + 630 + 5 + 9 + 0 = 666.

679630590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent 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, 170925 + ... + 174855.

It is an arithmetic number, because the mean of its divisors is an integer number (19666881).

Almost surely, 2679630590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679630590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (944010288).

679630590 is an abundant number, since it is smaller than the sum of its proper divisors (1208389986).

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

679630590 is a wasteful number, since it uses less digits than its factorization.

679630590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4074 (or 4071 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The square root of 679630590 is about 26069.7255451606. The cubic root of 679630590 is about 879.2066670729.

The spelling of 679630590 in words is "six hundred seventy-nine million, six hundred thirty thousand, five hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 113 153 170 226 255 306 339 510 565 678 765 1017 1130 1530 1695 1921 2034 3390 3842 3931 5085 5763 7862 9605 10170 11526 11793 17289 19210 19655 23586 28815 34578 35379 39310 57630 58965 66827 70758 86445 117930 133654 172890 176895 200481 334135 353790 400962 444203 601443 668270 888406 1002405 1202886 1332609 2004810 2221015 2665218 3007215 3997827 4442030 6014430 6663045 7551451 7995654 13326090 15102902 19989135 22654353 37757255 39978270 45308706 67963059 75514510 113271765 135926118 226543530 339815295 679630590