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1066397280 = 253513297183
BaseRepresentation
bin111111100011111…
…110111001100000
32202022121121001120
4333203332321200
54140444203110
6253452332240
735266140654
oct7743767140
92668547046
101066397280
114a7a54073
12259174080
1313cc16c10
14a18b2a64
1563949870
hex3f8fee60

1066397280 has 384 divisors, whose sum is σ = 3840721920. Its totient is φ = 246865920.

The previous prime is 1066397273. The next prime is 1066397281. The reversal of 1066397280 is 827936601.

It is a happy number.

It is a super-2 number, since 2×10663972802 = 2274406317582796800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1066397281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12848119 + ... + 12848201.

It is an arithmetic number, because the mean of its divisors is an integer number (10001880).

Almost surely, 21066397280 is an apocalyptic number.

1066397280 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 1066397280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1920360960).

1066397280 is an abundant number, since it is smaller than the sum of its proper divisors (2774324640).

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

1066397280 is a wasteful number, since it uses less digits than its factorization.

1066397280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 1066397280 is about 32655.7388524590. The cubic root of 1066397280 is about 1021.6598886396.

The spelling of 1066397280 in words is "one billion, sixty-six million, three hundred ninety-seven thousand, two hundred eighty".