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68705280 = 210335771
BaseRepresentation
bin1000001100001…
…01110000000000
311210021120221000
410012011300000
5120042032110
610452332000
71462661640
oct406056000
9153246830
1068705280
1135867326
121b014000
1311307417
1491a6520
1560721c0
hex4185c00

68705280 has 352 divisors, whose sum is σ = 282977280. Its totient is φ = 15482880.

The previous prime is 68705261. The next prime is 68705281. The reversal of 68705280 is 8250786.

68705280 is a `hidden beast` number, since 68 + 70 + 528 + 0 = 666.

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 (68705281) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 967645 + ... + 967715.

Almost surely, 268705280 is an apocalyptic number.

68705280 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 68705280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141488640).

68705280 is an abundant number, since it is smaller than the sum of its proper divisors (214272000).

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

68705280 is a wasteful number, since it uses less digits than its factorization.

68705280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 88 counting only the distinct ones).

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

The square root of 68705280 is about 8288.8648197446. The cubic root of 68705280 is about 409.5717916772.

68705280 divided by its product of nonzero digits (26880) gives a triangular number (2556 = T71).

The spelling of 68705280 in words is "sixty-eight million, seven hundred five thousand, two hundred eighty".