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68884480 = 21157312
BaseRepresentation
bin1000001101100…
…01100000000000
311210121200202001
410012301200000
5120113300410
610500233344
71464336250
oct406614000
9153550661
1068884480
1135979a25
121b09b854
131136ab62
149211960
1560aa33a
hex41b1800

68884480 has 144 divisors (see below), whose sum is σ = 195184080. Its totient is φ = 22855680.

The previous prime is 68884463. The next prime is 68884489. The reversal of 68884480 is 8448886.

It is a self number, because there is not a number n which added to its sum of digits gives 68884480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68884489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2222065 + ... + 2222095.

It is an arithmetic number, because the mean of its divisors is an integer number (1355445).

Almost surely, 268884480 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 68884480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97592040).

68884480 is an abundant number, since it is smaller than the sum of its proper divisors (126299600).

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

68884480 is an equidigital number, since it uses as much as digits as its factorization.

68884480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 46.

The square root of 68884480 is about 8299.6674632180. The cubic root of 68884480 is about 409.9275699934.

The spelling of 68884480 in words is "sixty-eight million, eight hundred eighty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 32 35 40 56 62 64 70 80 112 124 128 140 155 160 217 224 248 256 280 310 320 434 448 496 512 560 620 640 868 896 961 992 1024 1085 1120 1240 1280 1736 1792 1922 1984 2048 2170 2240 2480 2560 3472 3584 3844 3968 4340 4480 4805 4960 5120 6727 6944 7168 7688 7936 8680 8960 9610 9920 10240 13454 13888 14336 15376 15872 17360 17920 19220 19840 26908 27776 30752 31744 33635 34720 35840 38440 39680 53816 55552 61504 63488 67270 69440 71680 76880 79360 107632 111104 123008 134540 138880 153760 158720 215264 222208 246016 269080 277760 307520 317440 430528 444416 492032 538160 555520 615040 861056 984064 1076320 1111040 1230080 1722112 1968128 2152640 2222080 2460160 3444224 4305280 4920320 6888448 8610560 9840640 13776896 17221120 34442240 68884480