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68721360 = 24352811019
BaseRepresentation
bin1000001100010…
…01101011010000
311210022101222120
410012021223100
5120043040420
610452534240
71463056551
oct406115320
9153271876
1068721360
1135878414
121b021380
1311311836
1491ac328
156076d40
hex4189ad0

68721360 has 80 divisors (see below), whose sum is σ = 214004160. Its totient is φ = 18242560.

The previous prime is 68721313. The next prime is 68721383. The reversal of 68721360 is 6312786.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×687213603 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66931 + ... + 67949.

It is an arithmetic number, because the mean of its divisors is an integer number (2675052).

Almost surely, 268721360 is an apocalyptic number.

68721360 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 68721360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107002080).

68721360 is an abundant number, since it is smaller than the sum of its proper divisors (145282800).

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

68721360 is a wasteful number, since it uses less digits than its factorization.

68721360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 68721360 is about 8289.8347390041. The cubic root of 68721360 is about 409.6037416752.

The spelling of 68721360 in words is "sixty-eight million, seven hundred twenty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 281 562 843 1019 1124 1405 1686 2038 2248 2810 3057 3372 4076 4215 4496 5095 5620 6114 6744 8152 8430 10190 11240 12228 13488 15285 16304 16860 20380 22480 24456 30570 33720 40760 48912 61140 67440 81520 122280 244560 286339 572678 859017 1145356 1431695 1718034 2290712 2863390 3436068 4295085 4581424 5726780 6872136 8590170 11453560 13744272 17180340 22907120 34360680 68721360