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68781300 = 22352724679
BaseRepresentation
bin1000001100110…
…00010011110100
311210102110012120
410012120103310
5120102000200
610454115540
71463426400
oct406302364
9153373176
1068781300
1135909455
121b04bbb0
1311332bc3
1491c6100
1560899a0
hex41984f4

68781300 has 108 divisors (see below), whose sum is σ = 231547680. Its totient is φ = 15718080.

The previous prime is 68781283. The next prime is 68781331. The reversal of 68781300 is 318786.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 12361 + ... + 17039.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 268781300 is an apocalyptic number.

68781300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68781300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115773840).

68781300 is an abundant number, since it is smaller than the sum of its proper divisors (162766380).

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

68781300 is a wasteful number, since it uses less digits than its factorization.

68781300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4710 (or 4696 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 68781300 is about 8293.4492221271. The cubic root of 68781300 is about 409.7227949730.

The spelling of 68781300 in words is "sixty-eight million, seven hundred eighty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 49 50 60 70 75 84 98 100 105 140 147 150 175 196 210 245 294 300 350 420 490 525 588 700 735 980 1050 1225 1470 2100 2450 2940 3675 4679 4900 7350 9358 14037 14700 18716 23395 28074 32753 46790 56148 65506 70185 93580 98259 116975 131012 140370 163765 196518 229271 233950 280740 327530 350925 393036 458542 467900 491295 655060 687813 701850 818825 917084 982590 1146355 1375626 1403700 1637650 1965180 2292710 2456475 2751252 3275300 3439065 4585420 4912950 5731775 6878130 9825900 11463550 13756260 17195325 22927100 34390650 68781300