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68963328 = 2103271069
BaseRepresentation
bin1000001110001…
…00110000000000
311210202200220100
410013010300000
5120123311303
610502042400
71465115160
oct407046000
9153680810
1068963328
1135a23195
121b119400
1311397a05
1492325a0
1560c38a3
hex41c4c00

68963328 has 132 divisors (see below), whose sum is σ = 227790160. Its totient is φ = 19685376.

The previous prime is 68963327. The next prime is 68963329. The reversal of 68963328 is 82336986.

68963328 is a `hidden beast` number, since 6 + 8 + 9 + 633 + 2 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (68963327) and next prime (68963329).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (68963327) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 63978 + ... + 65046.

Almost surely, 268963328 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 68963328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113895080).

68963328 is an abundant number, since it is smaller than the sum of its proper divisors (158826832).

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

68963328 is a wasteful number, since it uses less digits than its factorization.

68963328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1081 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 68963328 is about 8304.4161745423. The cubic root of 68963328 is about 410.0839169892.

The spelling of 68963328 in words is "sixty-eight million, nine hundred sixty-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1069 1152 1344 1536 1792 2016 2138 2304 2688 3072 3207 3584 4032 4276 4608 5376 6414 7168 7483 8064 8552 9216 9621 10752 12828 14966 16128 17104 19242 21504 22449 25656 29932 32256 34208 38484 44898 51312 59864 64512 67347 68416 76968 89796 102624 119728 134694 136832 153936 179592 205248 239456 269388 273664 307872 359184 410496 478912 538776 547328 615744 718368 820992 957824 1077552 1094656 1231488 1436736 1641984 1915648 2155104 2462976 2873472 3283968 3831296 4310208 4925952 5746944 7662592 8620416 9851904 11493888 17240832 22987776 34481664 68963328