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679710096 = 243313127953
BaseRepresentation
bin101000100000111…
…000110110010000
31202100222211222000
4220200320312100
52343001210341
6151240314000
722562304042
oct5040706620
91670884860
10679710096
1131975128a
1216b772900
13aaa87030
14663b5a92
153ea158b6
hex28838d90

679710096 has 160 divisors (see below), whose sum is σ = 2119864320. Its totient is φ = 207277056.

The previous prime is 679710089. The next prime is 679710169. The reversal of 679710096 is 690017976.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 712756 + ... + 713708.

It is an arithmetic number, because the mean of its divisors is an integer number (13249152).

Almost surely, 2679710096 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 679710096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1059932160).

679710096 is an abundant number, since it is smaller than the sum of its proper divisors (1440154224).

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

679710096 is a wasteful number, since it uses less digits than its factorization.

679710096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The square root of 679710096 is about 26071.2503727765. The cubic root of 679710096 is about 879.2409501479.

The spelling of 679710096 in words is "six hundred seventy-nine million, seven hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 127 144 156 208 216 234 254 312 351 381 432 468 508 624 702 762 936 953 1016 1143 1404 1524 1651 1872 1906 2032 2286 2808 2859 3048 3302 3429 3812 4572 4953 5616 5718 6096 6604 6858 7624 8577 9144 9906 11436 12389 13208 13716 14859 15248 17154 18288 19812 22872 24778 25731 26416 27432 29718 34308 37167 39624 44577 45744 49556 51462 54864 59436 68616 74334 79248 89154 99112 102924 111501 118872 121031 137232 148668 178308 198224 205848 223002 237744 242062 297336 334503 356616 363093 411696 446004 484124 594672 669006 713232 726186 892008 968248 1089279 1338012 1452372 1573403 1784016 1936496 2178558 2676024 2904744 3146806 3267837 4357116 4720209 5352048 5809488 6293612 6535674 8714232 9440418 12587224 13071348 14160627 17428464 18880836 25174448 26142696 28321254 37761672 42481881 52285392 56642508 75523344 84963762 113285016 169927524 226570032 339855048 679710096