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68645160 = 23325316151
BaseRepresentation
bin1000001011101…
…11000100101000
311210011112110100
410011313010220
5120033121120
610451145400
71462321443
oct405670450
9153145410
1068645160
1135826141
121aba5260
13112b5c4c
14918c65a
15605e490
hex4177128

68645160 has 96 divisors (see below), whose sum is σ = 230330880. Its totient is φ = 17712000.

The previous prime is 68645153. The next prime is 68645173. The reversal of 68645160 is 6154686.

68645160 is a `hidden beast` number, since 6 + 8 + 645 + 1 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8085 + ... + 14235.

It is an arithmetic number, because the mean of its divisors is an integer number (2399280).

Almost surely, 268645160 is an apocalyptic number.

68645160 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 68645160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115165440).

68645160 is an abundant number, since it is smaller than the sum of its proper divisors (161685720).

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

68645160 is a wasteful number, since it uses less digits than its factorization.

68645160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6199 (or 6192 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68645160 is about 8285.2374739654. The cubic root of 68645160 is about 409.4522926528.

The spelling of 68645160 in words is "sixty-eight million, six hundred forty-five thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 6151 11160 12302 18453 24604 30755 36906 49208 55359 61510 73812 92265 110718 123020 147624 184530 190681 221436 246040 276795 369060 381362 442872 553590 572043 738120 762724 953405 1107180 1144086 1525448 1716129 1906810 2214360 2288172 2860215 3432258 3813620 4576344 5720430 6864516 7627240 8580645 11440860 13729032 17161290 22881720 34322580 68645160