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68154720 = 25351071327
BaseRepresentation
bin1000000111111…
…11010101100000
311202020121200220
410003333111200
5114421422340
610432443040
71455206544
oct403772540
9152217626
1068154720
1135520717
121a9a9480
131117394a
1490a1a24
155eb3ed0
hex40ff560

68154720 has 96 divisors (see below), whose sum is σ = 216857088. Its totient is φ = 17991168.

The previous prime is 68154719. The next prime is 68154731. The reversal of 68154720 is 2745186.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50697 + ... + 52023.

It is an arithmetic number, because the mean of its divisors is an integer number (2258928).

Almost surely, 268154720 is an apocalyptic number.

68154720 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 68154720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108428544).

68154720 is an abundant number, since it is smaller than the sum of its proper divisors (148702368).

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

68154720 is a wasteful number, since it uses less digits than its factorization.

68154720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 68154720 is about 8255.5871989823. The cubic root of 68154720 is about 408.4748412320.

The spelling of 68154720 in words is "sixty-eight million, one hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 107 120 160 214 240 321 428 480 535 642 856 1070 1284 1327 1605 1712 2140 2568 2654 3210 3424 3981 4280 5136 5308 6420 6635 7962 8560 10272 10616 12840 13270 15924 17120 19905 21232 25680 26540 31848 39810 42464 51360 53080 63696 79620 106160 127392 141989 159240 212320 283978 318480 425967 567956 636960 709945 851934 1135912 1419890 1703868 2129835 2271824 2839780 3407736 4259670 4543648 5679560 6815472 8519340 11359120 13630944 17038680 22718240 34077360 68154720