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68316672 = 29379563
BaseRepresentation
bin1000001001001…
…10111000000000
311202112211212010
410010212320000
5114442113142
610440132520
71456452654
oct404467000
9152484763
1068316672
1135621366
121aa67140
13111cc588
149104a64
155ee6e9c
hex4126e00

68316672 has 80 divisors (see below), whose sum is σ = 184631040. Its totient is φ = 22444032.

The previous prime is 68316671. The next prime is 68316673. The reversal of 68316672 is 27661386.

It is an interprime number because it is at equal distance from previous prime (68316671) and next prime (68316673).

It is a self number, because there is not a number n which added to its sum of digits gives 68316672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68316671) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121063 + ... + 121625.

It is an arithmetic number, because the mean of its divisors is an integer number (2307888).

Almost surely, 268316672 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 68316672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92315520).

68316672 is an abundant number, since it is smaller than the sum of its proper divisors (116314368).

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

68316672 is an equidigital number, since it uses as much as digits as its factorization.

68316672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 647 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 68316672 is about 8265.3900089469. The cubic root of 68316672 is about 408.7981301048.

The spelling of 68316672 in words is "sixty-eight million, three hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 563 632 768 948 1126 1264 1536 1689 1896 2252 2528 3378 3792 4504 5056 6756 7584 9008 10112 13512 15168 18016 20224 27024 30336 36032 40448 44477 54048 60672 72064 88954 108096 121344 133431 144128 177908 216192 266862 288256 355816 432384 533724 711632 864768 1067448 1423264 2134896 2846528 4269792 5693056 8539584 11386112 17079168 22772224 34158336 68316672