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68878080 = 283351993
BaseRepresentation
bin1000001101011…
…11111100000000
311210121100222000
410012233330000
5120113044310
610500144000
71464311505
oct406577400
9153540860
1068878080
1135975137
121b098000
1311367c7b
14920d4ac
1560a84c0
hex41aff00

68878080 has 144 divisors (see below), whose sum is σ = 244544160. Its totient is φ = 18358272.

The previous prime is 68878039. The next prime is 68878087. The reversal of 68878080 is 8087886.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68878087) 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, 33564 + ... + 35556.

Almost surely, 268878080 is an apocalyptic number.

68878080 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68878080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122272080).

68878080 is an abundant number, since it is smaller than the sum of its proper divisors (175666080).

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

68878080 is a wasteful number, since it uses less digits than its factorization.

68878080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2023 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 68878080 is about 8299.2818966462. The cubic root of 68878080 is about 409.9148742565.

The spelling of 68878080 in words is "sixty-eight million, eight hundred seventy-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 1993 2160 2304 2880 3456 3840 3986 4320 5760 5979 6912 7972 8640 9965 11520 11958 15944 17280 17937 19930 23916 29895 31888 34560 35874 39860 47832 53811 59790 63776 71748 79720 89685 95664 107622 119580 127552 143496 159440 179370 191328 215244 239160 255104 269055 286992 318880 358740 382656 430488 478320 510208 538110 573984 637760 717480 765312 860976 956640 1076220 1147968 1275520 1434960 1530624 1721952 1913280 2152440 2295936 2551040 2869920 3443904 3826560 4304880 4591872 5739840 6887808 7653120 8609760 11479680 13775616 17219520 22959360 34439040 68878080