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68057712 = 2433257613
BaseRepresentation
bin1000000111001…
…11101001110000
311202001200122000
410003213221300
5114410321322
610430414000
71454323662
oct403475160
9152050560
1068057712
1135464848
121a961300
131113b748
149078532
155e953ac
hex40e7a70

68057712 has 80 divisors (see below), whose sum is σ = 196430880. Its totient is φ = 22560768.

The previous prime is 68057707. The next prime is 68057719. The reversal of 68057712 is 21775086.

68057712 is a `hidden beast` number, since 6 + 80 + 577 + 1 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68057719) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110718 + ... + 111330.

It is an arithmetic number, because the mean of its divisors is an integer number (2455386).

Almost surely, 268057712 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 68057712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98215440).

68057712 is an abundant number, since it is smaller than the sum of its proper divisors (128373168).

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

68057712 is a wasteful number, since it uses less digits than its factorization.

68057712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 68057712 is about 8249.7098130783. The cubic root of 68057712 is about 408.2809483634.

The spelling of 68057712 in words is "sixty-eight million, fifty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 257 432 514 613 771 1028 1226 1542 1839 2056 2313 2452 3084 3678 4112 4626 4904 5517 6168 6939 7356 9252 9808 11034 12336 13878 14712 16551 18504 22068 27756 29424 33102 37008 44136 55512 66204 88272 111024 132408 157541 264816 315082 472623 630164 945246 1260328 1417869 1890492 2520656 2835738 3780984 4253607 5671476 7561968 8507214 11342952 17014428 22685904 34028856 68057712