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68921160 = 23357117459
BaseRepresentation
bin1000001101110…
…10011101001000
311210200120001120
410012322131020
5120120434120
610501115240
71464551220
oct406723510
9153616046
1068921160
11359a4540
121b0b8b20
1311381769
149221080
1560b6140
hex41ba748

68921160 has 128 divisors (see below), whose sum is σ = 257817600. Its totient is φ = 14319360.

The previous prime is 68921159. The next prime is 68921207. The reversal of 68921160 is 6112986.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5511 + ... + 12969.

It is an arithmetic number, because the mean of its divisors is an integer number (2014200).

Almost surely, 268921160 is an apocalyptic number.

68921160 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 68921160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128908800).

68921160 is an abundant number, since it is smaller than the sum of its proper divisors (188896440).

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

68921160 is a wasteful number, since it uses less digits than its factorization.

68921160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7491 (or 7487 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 68921160 is about 8301.8768962205. The cubic root of 68921160 is about 410.0003172712. Note that the first 3 decimals are identical.

The spelling of 68921160 in words is "sixty-eight million, nine hundred twenty-one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 7459 9240 14918 22377 29836 37295 44754 52213 59672 74590 82049 89508 104426 111885 149180 156639 164098 179016 208852 223770 246147 261065 298360 313278 328196 410245 417704 447540 492294 522130 574343 626556 656392 783195 820490 895080 984588 1044260 1148686 1230735 1253112 1566390 1640980 1723029 1969176 2088520 2297372 2461470 2871715 3132780 3281960 3446058 4594744 4922940 5743430 6265560 6892116 8615145 9845880 11486860 13784232 17230290 22973720 34460580 68921160