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68361760 = 2551741613
BaseRepresentation
bin1000001001100…
…01111000100000
311202122010201001
410010301320200
5120000034020
610441121344
71460031265
oct404617040
9152563631
1068361760
1135652225
121aa89254
1311216c5c
14911726c
15600550a
hex4131e20

68361760 has 96 divisors (see below), whose sum is σ = 175461552. Its totient is φ = 25067520.

The previous prime is 68361757. The next prime is 68361803. The reversal of 68361760 is 6716386.

It can be written as a sum of positive squares in 8 ways, for example, as 3139984 + 65221776 = 1772^2 + 8076^2 .

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, 111214 + ... + 111826.

Almost surely, 268361760 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 68361760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87730776).

68361760 is an abundant number, since it is smaller than the sum of its proper divisors (107099792).

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

68361760 is a wasteful number, since it uses less digits than its factorization.

68361760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 68361760 is about 8268.1170770617. The cubic root of 68361760 is about 408.8880439141. Note that the first 3 decimals are identical.

The spelling of 68361760 in words is "sixty-eight million, three hundred sixty-one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 41 68 80 82 85 136 160 164 170 205 272 328 340 410 544 613 656 680 697 820 1226 1312 1360 1394 1640 2452 2720 2788 3065 3280 3485 4904 5576 6130 6560 6970 9808 10421 11152 12260 13940 19616 20842 22304 24520 25133 27880 41684 49040 50266 52105 55760 83368 98080 100532 104210 111520 125665 166736 201064 208420 251330 333472 402128 416840 427261 502660 804256 833680 854522 1005320 1667360 1709044 2010640 2136305 3418088 4021280 4272610 6836176 8545220 13672352 17090440 34180880 68361760