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68201280 = 26325717199
BaseRepresentation
bin1000001000010…
…10101101000000
311202022222120100
410010022231000
5114424420110
610433442400
71455462360
oct404125500
9152288510
1068201280
11355526a4
121aa10400
131118bbb4
1490b49a0
155ec2bc0
hex410ab40

68201280 has 336 divisors, whose sum is σ = 285292800. Its totient is φ = 14598144.

The previous prime is 68201269. The next prime is 68201281. The reversal of 68201280 is 8210286.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68201281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 342621 + ... + 342819.

Almost surely, 268201280 is an apocalyptic number.

68201280 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 68201280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646400).

68201280 is an abundant number, since it is smaller than the sum of its proper divisors (217091520).

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

68201280 is a wasteful number, since it uses less digits than its factorization.

68201280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 68201280 is about 8258.4066259782. The cubic root of 68201280 is about 408.5678367936.

It can be divided in two parts, 6820 and 1280, that added together give a square (8100 = 902).

The spelling of 68201280 in words is "sixty-eight million, two hundred one thousand, two hundred eighty".