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68055876 = 2234737811
BaseRepresentation
bin1000000111001…
…11001101000100
311202001121010000
410003213031010
5114410242001
610430401300
71454315430
oct403471504
9152047100
1068055876
1135463429
121a960230
131113a965
1490779c0
155e94a86
hex40e7344

68055876 has 120 divisors (see below), whose sum is σ = 209080256. Its totient is φ = 18895680.

The previous prime is 68055863. The next prime is 68055937. The reversal of 68055876 is 67855086.

68055876 is a `hidden beast` number, since 68 + 0 + 5 + 587 + 6 = 666.

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 39 ways as a sum of consecutive naturals, for example, 83511 + ... + 84321.

Almost surely, 268055876 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 68055876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104540128).

68055876 is an abundant number, since it is smaller than the sum of its proper divisors (141024380).

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

68055876 is a wasteful number, since it uses less digits than its factorization.

68055876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 68055876 is about 8249.5985356864. The cubic root of 68055876 is about 408.2772769178.

Adding to 68055876 its product of nonzero digits (403200), we get a square (68459076 = 82742).

The spelling of 68055876 in words is "sixty-eight million, fifty-five thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 81 84 108 111 126 148 162 189 222 252 259 324 333 378 444 518 567 666 756 777 811 999 1036 1134 1332 1554 1622 1998 2268 2331 2433 2997 3108 3244 3996 4662 4866 5677 5994 6993 7299 9324 9732 11354 11988 13986 14598 17031 20979 21897 22708 27972 29196 30007 34062 41958 43794 51093 60014 65691 68124 83916 87588 90021 102186 120028 131382 153279 180042 204372 210049 262764 270063 306558 360084 420098 459837 540126 613116 630147 810189 840196 919674 1080252 1260294 1620378 1839348 1890441 2430567 2520588 3240756 3780882 4861134 5671323 7561764 9722268 11342646 17013969 22685292 34027938 68055876