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1066739040 = 2532519127307
BaseRepresentation
bin111111100101010…
…010010101100000
32202100020221212100
4333211102111200
54141041122130
6253503530400
735302063233
oct7745222540
92670227770
101066739040
114a8167914
122592b9a00
13140006643
14a196141a
15639b5c60
hex3f952560

1066739040 has 288 divisors, whose sum is σ = 3874590720. Its totient is φ = 266499072.

The previous prime is 1066739033. The next prime is 1066739077. The reversal of 1066739040 is 409376601.

1066739040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×10667390402 = 2275864358920243200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1066738986 and 1066739004.

It is a congruent number.

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, 3474567 + ... + 3474873.

It is an arithmetic number, because the mean of its divisors is an integer number (13453440).

Almost surely, 21066739040 is an apocalyptic number.

1066739040 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 1066739040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937295360).

1066739040 is an abundant number, since it is smaller than the sum of its proper divisors (2807851680).

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

1066739040 is a wasteful number, since it uses less digits than its factorization.

1066739040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1066739040 is about 32660.9712041758. The cubic root of 1066739040 is about 1021.7690178221.

The spelling of 1066739040 in words is "one billion, sixty-six million, seven hundred thirty-nine thousand, forty".