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68883200 = 285247229
BaseRepresentation
bin1000001101100…
…01001100000000
311210121121222122
410012301030000
5120113230300
610500223412
71464332441
oct406611400
9153547878
1068883200
1135978a71
121b09ab68
131136a3b9
1492112c8
1560a9c85
hex41b1300

68883200 has 108 divisors (see below), whose sum is σ = 174884640. Its totient is φ = 26849280.

The previous prime is 68883197. The next prime is 68883211. The reversal of 68883200 is 238886.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 300686 + ... + 300914.

Almost surely, 268883200 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 68883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87442320).

68883200 is an abundant number, since it is smaller than the sum of its proper divisors (106001440).

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

68883200 is a wasteful number, since it uses less digits than its factorization.

68883200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 68883200 is about 8299.5903513366. The cubic root of 68883200 is about 409.9250309089.

The spelling of 68883200 in words is "sixty-eight million, eight hundred eighty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 47 50 64 80 94 100 128 160 188 200 229 235 256 320 376 400 458 470 640 752 800 916 940 1145 1175 1280 1504 1600 1832 1880 2290 2350 3008 3200 3664 3760 4580 4700 5725 6016 6400 7328 7520 9160 9400 10763 11450 12032 14656 15040 18320 18800 21526 22900 29312 30080 36640 37600 43052 45800 53815 58624 60160 73280 75200 86104 91600 107630 146560 150400 172208 183200 215260 269075 293120 300800 344416 366400 430520 538150 688832 732800 861040 1076300 1377664 1465600 1722080 2152600 2755328 3444160 4305200 6888320 8610400 13776640 17220800 34441600 68883200