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679893340 = 2257192311113
BaseRepresentation
bin101000100001100…
…101100101011100
31202101100011022211
4220201211211130
52343023041330
6151244250204
722563666220
oct5041454534
91671304284
10679893340
11319866a25
1216b840964
13aab1c569
1466422780
153ea4ed2a
hex2886595c

679893340 has 96 divisors (see below), whose sum is σ = 1792465920. Its totient is φ = 211216896.

The previous prime is 679893299. The next prime is 679893343. The reversal of 679893340 is 43398976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (679893343) 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 31 ways as a sum of consecutive naturals, for example, 55624 + ... + 66736.

It is an arithmetic number, because the mean of its divisors is an integer number (18671520).

Almost surely, 2679893340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 679893340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (896232960).

679893340 is an abundant number, since it is smaller than the sum of its proper divisors (1112572580).

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

679893340 is a wasteful number, since it uses less digits than its factorization.

679893340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171 (or 11169 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 49.

The square root of 679893340 is about 26074.7644284661. The cubic root of 679893340 is about 879.3199549832.

The spelling of 679893340 in words is "six hundred seventy-nine million, eight hundred ninety-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 23 28 35 38 46 70 76 92 95 115 133 140 161 190 230 266 322 380 437 460 532 644 665 805 874 1330 1610 1748 2185 2660 3059 3220 4370 6118 8740 11113 12236 15295 22226 30590 44452 55565 61180 77791 111130 155582 211147 222260 255599 311164 388955 422294 511198 777910 844588 1022396 1055735 1277995 1478029 1555820 1789193 2111470 2555990 2956058 3578386 4222940 4856381 5111980 5912116 7156772 7390145 8945965 9712762 14780290 17891930 19425524 24281905 29560580 33994667 35783860 48563810 67989334 97127620 135978668 169973335 339946670 679893340