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1042706016 = 25321117191019
BaseRepresentation
bin111110001001100…
…110111001100000
32200200000221202100
4332021212321200
54113413043031
6251244450400
734560566142
oct7611467140
92620027670
101042706016
11495642510
12251249a00
13138040611
149c6a6c92
1561819de6
hex3e266e60

1042706016 has 288 divisors, whose sum is σ = 3608841600. Its totient is φ = 281456640.

The previous prime is 1042705981. The next prime is 1042706017. The reversal of 1042706016 is 6106072401.

1042706016 is a `hidden beast` number, since 10 + 42 + 7 + 0 + 601 + 6 = 666.

1042706016 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042706017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1022755 + ... + 1023773.

It is an arithmetic number, because the mean of its divisors is an integer number (12530700).

Almost surely, 21042706016 is an apocalyptic number.

1042706016 is a gapful number since it is divisible by the number (16) 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 1042706016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804420800).

1042706016 is an abundant number, since it is smaller than the sum of its proper divisors (2566135584).

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

1042706016 is a wasteful number, since it uses less digits than its factorization.

1042706016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1042706016 is about 32290.9587346056. The cubic root of 1042706016 is about 1014.0373689297.

Adding to 1042706016 its reverse (6106072401), we get a palindrome (7148778417).

The spelling of 1042706016 in words is "one billion, forty-two million, seven hundred six thousand, sixteen".