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68308128 = 25327311093
BaseRepresentation
bin1000001001001…
…00110010100000
311202112102010200
410010210302200
5114441330003
610440025200
71456416030
oct404446240
9152472120
1068308128
11356159a9
121aa62200
13111c8715
1491018c0
155ee46a3
hex4124ca0

68308128 has 144 divisors (see below), whose sum is σ = 229372416. Its totient is φ = 18869760.

The previous prime is 68308117. The next prime is 68308147. The reversal of 68308128 is 82180386.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 68308092 and 68308101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61950 + ... + 63042.

It is an arithmetic number, because the mean of its divisors is an integer number (1592864).

Almost surely, 268308128 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 68308128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114686208).

68308128 is an abundant number, since it is smaller than the sum of its proper divisors (161064288).

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

68308128 is a wasteful number, since it uses less digits than its factorization.

68308128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 68308128 is about 8264.8731387723. The cubic root of 68308128 is about 408.7810873306.

The spelling of 68308128 in words is "sixty-eight million, three hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 31 32 36 42 48 56 62 63 72 84 93 96 112 124 126 144 168 186 217 224 248 252 279 288 336 372 434 496 504 558 651 672 744 868 992 1008 1093 1116 1302 1488 1736 1953 2016 2186 2232 2604 2976 3279 3472 3906 4372 4464 5208 6558 6944 7651 7812 8744 8928 9837 10416 13116 15302 15624 17488 19674 20832 22953 26232 30604 31248 33883 34976 39348 45906 52464 61208 62496 67766 68859 78696 91812 101649 104928 122416 135532 137718 157392 183624 203298 237181 244832 271064 275436 304947 314784 367248 406596 474362 542128 550872 609894 711543 734496 813192 948724 1084256 1101744 1219788 1423086 1626384 1897448 2134629 2203488 2439576 2846172 3252768 3794896 4269258 4879152 5692344 7589792 8538516 9758304 11384688 17077032 22769376 34154064 68308128