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680262030 = 233572315649
BaseRepresentation
bin101000100010111…
…111100110001110
31202102000220002000
4220202333212032
52343121341110
6151300213130
722600063140
oct5042774616
91672026060
10680262030
11319a98a28
1216b99a1a6
13aac1b316
14664bac90
153eac41c0
hex288bf98e

680262030 has 128 divisors (see below), whose sum is σ = 2163456000. Its totient is φ = 148718592.

The previous prime is 680262001. The next prime is 680262041. The reversal of 680262030 is 30262086.

680262030 is a `hidden beast` number, since 6 + 8 + 0 + 2 + 620 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 680261985 and 680262003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35646 + ... + 51294.

It is an arithmetic number, because the mean of its divisors is an integer number (16902000).

Almost surely, 2680262030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 680262030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081728000).

680262030 is an abundant number, since it is smaller than the sum of its proper divisors (1483193970).

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

680262030 is a wasteful number, since it uses less digits than its factorization.

680262030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15695 (or 15689 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 680262030 is about 26081.8333328008. The cubic root of 680262030 is about 879.4788710324.

The spelling of 680262030 in words is "six hundred eighty million, two hundred sixty-two thousand, thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 23 27 30 35 42 45 46 54 63 69 70 90 105 115 126 135 138 161 189 207 210 230 270 315 322 345 378 414 483 621 630 690 805 945 966 1035 1242 1449 1610 1890 2070 2415 2898 3105 4347 4830 6210 7245 8694 14490 15649 21735 31298 43470 46947 78245 93894 109543 140841 156490 219086 234735 281682 328629 359927 422523 469470 547715 657258 704205 719854 845046 985887 1079781 1095430 1408410 1643145 1799635 1971774 2112615 2159562 2519489 2957661 3239343 3286290 3599270 4225230 4929435 5038978 5398905 5915322 6478686 7558467 9718029 9858870 10797810 12597445 14788305 15116934 16196715 19436058 22675401 25194890 29576610 32393430 37792335 45350802 48590145 68026203 75584670 97180290 113377005 136052406 226754010 340131015 680262030