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68311040 = 21157953
BaseRepresentation
bin1000001001001…
…01100000000000
311202112120010112
410010211200000
5114441423130
610440050452
71456430360
oct404454000
9152476115
1068311040
1135618106
121aa63a28
13111c9b45
1491029a0
155ee5495
hex4125800

68311040 has 96 divisors (see below), whose sum is σ = 187518240. Its totient is φ = 23396352.

The previous prime is 68311021. The next prime is 68311057. The reversal of 68311040 is 4011386.

It is a junction number, because it is equal to n+sod(n) for n = 68310997 and 68311015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 71204 + ... + 72156.

It is an arithmetic number, because the mean of its divisors is an integer number (1953315).

Almost surely, 268311040 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 68311040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93759120).

68311040 is an abundant number, since it is smaller than the sum of its proper divisors (119207200).

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

68311040 is an equidigital number, since it uses as much as digits as its factorization.

68311040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 987 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 68311040 is about 8265.0493041482. The cubic root of 68311040 is about 408.7868960762.

The spelling of 68311040 in words is "sixty-eight million, three hundred eleven thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 953 1024 1120 1280 1792 1906 2048 2240 2560 3584 3812 4480 4765 5120 6671 7168 7624 8960 9530 10240 13342 14336 15248 17920 19060 26684 30496 33355 35840 38120 53368 60992 66710 71680 76240 106736 121984 133420 152480 213472 243968 266840 304960 426944 487936 533680 609920 853888 975872 1067360 1219840 1707776 1951744 2134720 2439680 3415552 4269440 4879360 6831104 8538880 9758720 13662208 17077760 34155520 68311040