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679936128 = 27319412273
BaseRepresentation
bin101000100001110…
…000000010000000
31202101102100000120
4220201300002000
52343030424003
6151245220240
722564235034
oct5041600200
91671370016
10679936128
11319896093
1216b861680
13aab35b91
14664341c4
153ea5c853
hex28870080

679936128 has 128 divisors (see below), whose sum is σ = 1948363200. Its totient is φ = 209387520.

The previous prime is 679936121. The next prime is 679936151. The reversal of 679936128 is 821639976.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (679936121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298000 + ... + 300272.

Almost surely, 2679936128 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 679936128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (974181600).

679936128 is an abundant number, since it is smaller than the sum of its proper divisors (1268427072).

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

679936128 is a wasteful number, since it uses less digits than its factorization.

679936128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 2338 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 679936128 is about 26075.5849023565. The cubic root of 679936128 is about 879.3384007946.

The spelling of 679936128 in words is "six hundred seventy-nine million, nine hundred thirty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 41 48 57 64 76 82 96 114 123 128 152 164 192 228 246 304 328 384 456 492 608 656 779 912 984 1216 1312 1558 1824 1968 2273 2337 2432 2624 3116 3648 3936 4546 4674 5248 6232 6819 7296 7872 9092 9348 12464 13638 15744 18184 18696 24928 27276 36368 37392 43187 49856 54552 72736 74784 86374 93193 99712 109104 129561 145472 149568 172748 186386 218208 259122 279579 290944 299136 345496 372772 436416 518244 559158 690992 745544 872832 1036488 1118316 1381984 1491088 1770667 2072976 2236632 2763968 2982176 3541334 4145952 4473264 5312001 5527936 5964352 7082668 8291904 8946528 10624002 11928704 14165336 16583808 17893056 21248004 28330672 35786112 42496008 56661344 84992016 113322688 169984032 226645376 339968064 679936128