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68074116 = 223112173271
BaseRepresentation
bin1000000111010…
…11101010000100
311202002112010120
410003223222010
5114411332431
610431021540
71454422545
oct403535204
9152075116
1068074116
1135476100
121a96a8b0
1311146056
1490804cc
155e9a196
hex40eba84

68074116 has 72 divisors (see below), whose sum is σ = 176249472. Its totient is φ = 20433600.

The previous prime is 68074073. The next prime is 68074121. The reversal of 68074116 is 61147086.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 251061 + ... + 251331.

Almost surely, 268074116 is an apocalyptic number.

68074116 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 68074116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88124736).

68074116 is an abundant number, since it is smaller than the sum of its proper divisors (108175356).

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

68074116 is a wasteful number, since it uses less digits than its factorization.

68074116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 68074116 is about 8250.7039699652. The cubic root of 68074116 is about 408.3137484799.

The spelling of 68074116 in words is "sixty-eight million, seventy-four thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 173 242 271 346 363 484 519 542 692 726 813 1038 1084 1452 1626 1903 2076 2981 3252 3806 5709 5962 7612 8943 11418 11924 17886 20933 22836 32791 35772 41866 46883 62799 65582 83732 93766 98373 125598 131164 140649 187532 196746 251196 281298 393492 515713 562596 1031426 1547139 2062852 3094278 5672843 6188556 11345686 17018529 22691372 34037058 68074116