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73680108 = 22317715087
BaseRepresentation
bin1000110010001…
…00010011101100
312010122100002220
410121010103230
5122330230413
611151115340
71553161545
oct431042354
9163570086
1073680108
1138654a57
1220812b50
13123598c8
149add4cc
156706223
hex46444ec

73680108 has 48 divisors (see below), whose sum is σ = 184633344. Its totient is φ = 22785280.

The previous prime is 73680077. The next prime is 73680143. The reversal of 73680108 is 80108637.

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 15 ways as a sum of consecutive naturals, for example, 11941 + ... + 17027.

It is an arithmetic number, because the mean of its divisors is an integer number (3846528).

Almost surely, 273680108 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 73680108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92316672).

73680108 is an abundant number, since it is smaller than the sum of its proper divisors (110953236).

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

73680108 is a wasteful number, since it uses less digits than its factorization.

73680108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5182 (or 5180 counting only the distinct ones).

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

The square root of 73680108 is about 8583.7117845370. The cubic root of 73680108 is about 419.2278101876.

The spelling of 73680108 in words is "seventy-three million, six hundred eighty thousand, one hundred eight".

Divisors: 1 2 3 4 6 12 17 34 51 68 71 102 142 204 213 284 426 852 1207 2414 3621 4828 5087 7242 10174 14484 15261 20348 30522 61044 86479 172958 259437 345916 361177 518874 722354 1037748 1083531 1444708 2167062 4334124 6140009 12280018 18420027 24560036 36840054 73680108