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68075280 = 243257131039
BaseRepresentation
bin1000000111010…
…11111100010000
311202002120201200
410003223330100
5114411402110
610431031200
71454426130
oct403537420
9152076650
1068075280
1135476a69
121a96b500
1311146740
149080ac0
155e9a6c0
hex40ebf10

68075280 has 240 divisors, whose sum is σ = 281648640. Its totient is φ = 14349312.

The previous prime is 68075263. The next prime is 68075303. The reversal of 68075280 is 8257086.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 65001 + ... + 66039.

It is an arithmetic number, because the mean of its divisors is an integer number (1173536).

Almost surely, 268075280 is an apocalyptic number.

68075280 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 68075280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140824320).

68075280 is an abundant number, since it is smaller than the sum of its proper divisors (213573360).

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

68075280 is a wasteful number, since it uses less digits than its factorization.

68075280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1078 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 68075280 is about 8250.7745090991. The cubic root of 68075280 is about 408.3160757203.

The spelling of 68075280 in words is "sixty-eight million, seventy-five thousand, two hundred eighty".