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1068785280 = 2734553389
BaseRepresentation
bin111111101101000…
…101111010000000
32202111002220210000
4333231011322000
54142102112110
6254015440000
735325345033
oct7755057200
92674086700
101068785280
114a9335222
12259b26000
13140571b34
14a1d3501a
1563c6c1c0
hex3fb45e80

1068785280 has 320 divisors, whose sum is σ = 3898837800. Its totient is φ = 278913024.

The previous prime is 1068785279. The next prime is 1068785287. The reversal of 1068785280 is 825878601.

It can be written as a sum of positive squares in 4 ways, for example, as 833592384 + 235192896 = 28872^2 + 15336^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×10687852802 = 2284603949489356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1068785287) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2747326 + ... + 2747714.

Almost surely, 21068785280 is an apocalyptic number.

1068785280 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 1068785280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949418900).

1068785280 is an abundant number, since it is smaller than the sum of its proper divisors (2830052520).

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

1068785280 is an equidigital number, since it uses as much as digits as its factorization.

1068785280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The square root of 1068785280 is about 32692.2816579082. The cubic root of 1068785280 is about 1022.4219263961.

The spelling of 1068785280 in words is "one billion, sixty-eight million, seven hundred eighty-five thousand, two hundred eighty".