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68056416 = 2533227347
BaseRepresentation
bin1000000111001…
…11010101100000
311202001121212000
410003213111200
5114410301131
610430404000
71454320131
oct403472540
9152047760
1068056416
113546387a
121a960600
131113ac8c
149077c88
155e94ce6
hex40e7560

68056416 has 96 divisors (see below), whose sum is σ = 199946880. Its totient is φ = 22520448.

The previous prime is 68056381. The next prime is 68056447. The reversal of 68056416 is 61465086.

68056416 is a `hidden beast` number, since 6 + 8 + 0 + 5 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

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, 195955 + ... + 196301.

It is an arithmetic number, because the mean of its divisors is an integer number (2082780).

Almost surely, 268056416 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 68056416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99973440).

68056416 is an abundant number, since it is smaller than the sum of its proper divisors (131890464).

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

68056416 is a wasteful number, since it uses less digits than its factorization.

68056416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 68056416 is about 8249.6312644869. The cubic root of 68056416 is about 408.2783567616.

The spelling of 68056416 in words is "sixty-eight million, fifty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 227 288 347 432 454 681 694 864 908 1041 1362 1388 1816 2043 2082 2724 2776 3123 3632 4086 4164 5448 5552 6129 6246 7264 8172 8328 9369 10896 11104 12258 12492 16344 16656 18738 21792 24516 24984 32688 33312 37476 49032 49968 65376 74952 78769 98064 99936 149904 157538 196128 236307 299808 315076 472614 630152 708921 945228 1260304 1417842 1890456 2126763 2520608 2835684 3780912 4253526 5671368 7561824 8507052 11342736 17014104 22685472 34028208 68056416