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68817320 = 235111353227
BaseRepresentation
bin1000001101000…
…01000110101000
311210111021121122
410012201012220
5120104123240
610454554412
71463636405
oct406410650
9153437548
1068817320
1135933520
121b068a08
1311346410
1491d52ac
1560954b5
hex41a11a8

68817320 has 128 divisors (see below), whose sum is σ = 186157440. Its totient is φ = 22563840.

The previous prime is 68817317. The next prime is 68817323. The reversal of 68817320 is 2371886.

It is an interprime number because it is at equal distance from previous prime (68817317) and next prime (68817323).

It is not an unprimeable number, because it can be changed into a prime (68817323) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 303047 + ... + 303273.

It is an arithmetic number, because the mean of its divisors is an integer number (1454355).

Almost surely, 268817320 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 68817320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93078720).

68817320 is an abundant number, since it is smaller than the sum of its proper divisors (117340120).

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

68817320 is a wasteful number, since it uses less digits than its factorization.

68817320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 68817320 is about 8295.6205313406. The cubic root of 68817320 is about 409.7943049114.

The spelling of 68817320 in words is "sixty-eight million, eight hundred seventeen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 53 55 65 88 104 106 110 130 143 212 220 227 260 265 286 424 440 454 520 530 572 583 689 715 908 1060 1135 1144 1166 1378 1430 1816 2120 2270 2332 2497 2756 2860 2915 2951 3445 4540 4664 4994 5512 5720 5830 5902 6890 7579 9080 9988 11660 11804 12031 12485 13780 14755 15158 19976 23320 23608 24062 24970 27560 29510 30316 32461 37895 48124 49940 59020 60155 60632 64922 75790 96248 99880 118040 120310 129844 132341 151580 156403 162305 240620 259688 264682 303160 312806 324610 481240 529364 625612 649220 661705 782015 1058728 1251224 1298440 1323410 1564030 1720433 2646820 3128060 3440866 5293640 6256120 6881732 8602165 13763464 17204330 34408660 68817320