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68800116 = 22372112967
BaseRepresentation
bin1000001100111…
…00111001110100
311210110102000110
410012130321310
5120103100431
610454343020
71463535300
oct406347164
9153412013
1068800116
1135921600
121b05aa70
131133b638
1491ccd00
156090346
hex419ce74

68800116 has 108 divisors (see below), whose sum is σ = 205475424. Its totient is φ = 17851680.

The previous prime is 68800079. The next prime is 68800211. The reversal of 68800116 is 61100886.

It is a super-2 number, since 2×688001162 = 9466911923226912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 70665 + ... + 71631.

Almost surely, 268800116 is an apocalyptic number.

68800116 is a gapful number since it is divisible by the number (66) 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 68800116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102737712).

68800116 is an abundant number, since it is smaller than the sum of its proper divisors (136675308).

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

68800116 is a wasteful number, since it uses less digits than its factorization.

68800116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 68800116 is about 8294.5835338491. The cubic root of 68800116 is about 409.7601531950.

The spelling of 68800116 in words is "sixty-eight million, eight hundred thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 98 121 132 147 154 196 231 242 294 308 363 462 484 539 588 726 847 924 967 1078 1452 1617 1694 1934 2156 2541 2901 3234 3388 3868 5082 5802 5929 6468 6769 10164 10637 11604 11858 13538 17787 20307 21274 23716 27076 31911 35574 40614 42548 47383 63822 71148 74459 81228 94766 117007 127644 142149 148918 189532 223377 234014 284298 297836 351021 446754 468028 521213 568596 702042 819049 893508 1042426 1404084 1563639 1638098 2084852 2457147 3127278 3276196 4914294 5733343 6254556 9828588 11466686 17200029 22933372 34400058 68800116