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68175840 = 2535173821
BaseRepresentation
bin1000001000001…
…00011111100000
311202021200200010
410010010133200
5114423111330
610433124520
71455325245
oct404043740
9152250603
1068175840
1135535577
121a9b9740
1311180445
1490a95cc
155eba3b0
hex41047e0

68175840 has 96 divisors (see below), whose sum is σ = 216258336. Its totient is φ = 18053120.

The previous prime is 68175829. The next prime is 68175853. The reversal of 68175840 is 4857186.

It is a tau number, because it is divible by the number of its divisors (96).

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, 82630 + ... + 83450.

It is an arithmetic number, because the mean of its divisors is an integer number (2252691).

Almost surely, 268175840 is an apocalyptic number.

68175840 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 68175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108129168).

68175840 is an abundant number, since it is smaller than the sum of its proper divisors (148082496).

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

68175840 is a wasteful number, since it uses less digits than its factorization.

68175840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1012 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 68175840 is about 8256.8662336264. The cubic root of 68175840 is about 408.5170300326.

The spelling of 68175840 in words is "sixty-eight million, one hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 173 240 346 480 519 692 821 865 1038 1384 1642 1730 2076 2463 2595 2768 3284 3460 4105 4152 4926 5190 5536 6568 6920 8210 8304 9852 10380 12315 13136 13840 16420 16608 19704 20760 24630 26272 27680 32840 39408 41520 49260 65680 78816 83040 98520 131360 142033 197040 284066 394080 426099 568132 710165 852198 1136264 1420330 1704396 2130495 2272528 2840660 3408792 4260990 4545056 5681320 6817584 8521980 11362640 13635168 17043960 22725280 34087920 68175840