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68478300 = 223252116917
BaseRepresentation
bin1000001010011…
…10010101011100
311202212001120100
410011032111130
5120012301200
610443421100
71461025122
oct405162534
9152761510
1068478300
1135721840
121ab24790
1311258007
149147912
156029d00
hex414e55c

68478300 has 108 divisors (see below), whose sum is σ = 234188136. Its totient is φ = 16598400.

The previous prime is 68478283. The next prime is 68478301. The reversal of 68478300 is 387486.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68478301) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6442 + ... + 13358.

Almost surely, 268478300 is an apocalyptic number.

68478300 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 68478300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117094068).

68478300 is an abundant number, since it is smaller than the sum of its proper divisors (165709836).

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

68478300 is a wasteful number, since it uses less digits than its factorization.

68478300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6948 (or 6938 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 68478300 is about 8275.1616298414. The cubic root of 68478300 is about 409.1202632135.

The spelling of 68478300 in words is "sixty-eight million, four hundred seventy-eight thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 6917 9900 13834 20751 27668 34585 41502 62253 69170 76087 83004 103755 124506 138340 152174 172925 207510 228261 249012 304348 311265 345850 380435 415020 456522 518775 622530 684783 691700 760870 913044 1037550 1141305 1245060 1369566 1521740 1556325 1902175 2075100 2282610 2739132 3112650 3423915 3804350 4565220 5706525 6225300 6847830 7608700 11413050 13695660 17119575 22826100 34239150 68478300