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68211720 = 2334537569
BaseRepresentation
bin1000001000011…
…01010000001000
311202100111220000
410010031100020
5114430233340
610434003000
71455534663
oct404152010
9152314800
1068211720
113555a525
121aa16460
1311193885
1490b86da
155ec5d30
hex410d408

68211720 has 160 divisors (see below), whose sum is σ = 235877400. Its totient is φ = 17667072.

The previous prime is 68211719. The next prime is 68211739. The reversal of 68211720 is 2711286.

It can be written as a sum of positive squares in 4 ways, for example, as 56881764 + 11329956 = 7542^2 + 3366^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119596 + ... + 120164.

Almost surely, 268211720 is an apocalyptic number.

68211720 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 68211720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117938700).

68211720 is an abundant number, since it is smaller than the sum of its proper divisors (167665680).

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

68211720 is a wasteful number, since it uses less digits than its factorization.

68211720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 68211720 is about 8259.0386849802. The cubic root of 68211720 is about 408.5886830817.

The spelling of 68211720 in words is "sixty-eight million, two hundred eleven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 90 108 111 120 135 148 162 180 185 216 222 270 296 324 333 360 370 405 444 540 555 569 648 666 740 810 888 999 1080 1110 1138 1332 1480 1620 1665 1707 1998 2220 2276 2664 2845 2997 3240 3330 3414 3996 4440 4552 4995 5121 5690 5994 6660 6828 7992 8535 9990 10242 11380 11988 13320 13656 14985 15363 17070 19980 20484 21053 22760 23976 25605 29970 30726 34140 39960 40968 42106 46089 51210 59940 61452 63159 68280 76815 84212 92178 102420 105265 119880 122904 126318 153630 168424 184356 189477 204840 210530 230445 252636 307260 315795 368712 378954 421060 460890 505272 568431 614520 631590 757908 842120 921780 947385 1136862 1263180 1515816 1705293 1843560 1894770 2273724 2526360 2842155 3410586 3789540 4547448 5684310 6821172 7579080 8526465 11368620 13642344 17052930 22737240 34105860 68211720