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679684880 = 24572414229
BaseRepresentation
bin101000100000110…
…010101100010000
31202100221120101002
4220200302230100
52342444404010
6151240001132
722562140400
oct5040625420
91670846332
10679684880
11319734346
1216b7601a8
13aaa78704
14663aa800
153ea0d1a5
hex28832b10

679684880 has 120 divisors (see below), whose sum is σ = 1883551320. Its totient is φ = 227297280.

The previous prime is 679684849. The next prime is 679684913. The reversal of 679684880 is 88486976.

It can be written as a sum of positive squares in 4 ways, for example, as 103876864 + 575808016 = 10192^2 + 23996^2 .

It is a super-2 number, since 2×6796848802 = 923943072201228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 158606 + ... + 162834.

It is an arithmetic number, because the mean of its divisors is an integer number (15696261).

Almost surely, 2679684880 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 679684880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941775660).

679684880 is an abundant number, since it is smaller than the sum of its proper divisors (1203866440).

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

679684880 is a wasteful number, since it uses less digits than its factorization.

679684880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4297 (or 4284 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 56.

The square root of 679684880 is about 26070.7667704653. The cubic root of 679684880 is about 879.2300772704.

The spelling of 679684880 in words is "six hundred seventy-nine million, six hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 41 49 56 70 80 82 98 112 140 164 196 205 245 280 287 328 392 410 490 560 574 656 784 820 980 1148 1435 1640 1960 2009 2296 2870 3280 3920 4018 4229 4592 5740 8036 8458 10045 11480 16072 16916 20090 21145 22960 29603 32144 33832 40180 42290 59206 67664 80360 84580 118412 148015 160720 169160 173389 207221 236824 296030 338320 346778 414442 473648 592060 693556 828884 866945 1036105 1184120 1213723 1387112 1657768 1733890 2072210 2368240 2427446 2774224 3315536 3467780 4144420 4854892 6068615 6935560 8288840 8496061 9709784 12137230 13871120 16577680 16992122 19419568 24274460 33984244 42480305 48548920 67968488 84960610 97097840 135936976 169921220 339842440 679684880