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1068480 = 26325753
BaseRepresentation
bin100000100110111000000
32000021200100
410010313000
5233142410
634522400
712040050
oct4046700
92007610
101068480
1166a846
12436400
132b544a
141db560
151618c0
hex104dc0

1068480 has 168 divisors, whose sum is σ = 4279392. Its totient is φ = 239616.

The previous prime is 1068469. The next prime is 1068481. The reversal of 1068480 is 848601.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×10684802 = 2283299020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068481) 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 23 ways as a sum of consecutive naturals, for example, 20134 + ... + 20186.

21068480 is an apocalyptic number.

1068480 is a gapful number since it is divisible by the number (10) 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 1068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2139696).

1068480 is an abundant number, since it is smaller than the sum of its proper divisors (3210912).

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

1068480 is a wasteful number, since it uses less digits than its factorization.

1068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 70 counting only the distinct ones).

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

The square root of 1068480 is about 1033.6730624332. The cubic root of 1068480 is about 102.2324571423.

The spelling of 1068480 in words is "one million, sixty-eight thousand, four hundred eighty".