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68273280 = 27355439
BaseRepresentation
bin1000001000111…
…00010010000000
311202110122100000
410010130102000
5114434221110
610435200000
71456212315
oct404342200
9152418300
1068273280
11355a17a9
121aa46000
13111b58ba
1490d2d0c
155ed91c0
hex411c480

68273280 has 192 divisors, whose sum is σ = 245044800. Its totient is φ = 18164736.

The previous prime is 68273237. The next prime is 68273299. The reversal of 68273280 is 8237286.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×682732802 = 9322481523916800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155301 + ... + 155739.

It is an arithmetic number, because the mean of its divisors is an integer number (1276275).

Almost surely, 268273280 is an apocalyptic number.

68273280 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 68273280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122522400).

68273280 is an abundant number, since it is smaller than the sum of its proper divisors (176771520).

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

68273280 is an equidigital number, since it uses as much as digits as its factorization.

68273280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 473 (or 449 counting only the distinct ones).

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

The square root of 68273280 is about 8262.7646704962. The cubic root of 68273280 is about 408.7115610684.

The spelling of 68273280 in words is "sixty-eight million, two hundred seventy-three thousand, two hundred eighty".