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1068119136 = 2536731211
BaseRepresentation
bin111111101010100…
…011010001100000
32202102212002000000
4333222203101200
54141414303021
6253553300000
735316601650
oct7752432140
92672762000
101068119136
114a8a1a797
12259864600
1314039a876
14a1c00360
1563b89b26
hex3faa3460

1068119136 has 336 divisors, whose sum is σ = 3737115648. Its totient is φ = 293932800.

The previous prime is 1068119113. The next prime is 1068119147. The reversal of 1068119136 is 6319118601.

It is a happy number.

1068119136 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 (336).

It is a super-2 number, since 2×10681191362 = 2281756977378772992, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1068119136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5062071 + ... + 5062281.

It is an arithmetic number, because the mean of its divisors is an integer number (11122368).

Almost surely, 21068119136 is an apocalyptic number.

1068119136 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 1068119136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868557824).

1068119136 is an abundant number, since it is smaller than the sum of its proper divisors (2668996512).

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

1068119136 is an equidigital number, since it uses as much as digits as its factorization.

1068119136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1068119136 is about 32682.0919771057. The cubic root of 1068119136 is about 1022.2094665775.

The spelling of 1068119136 in words is "one billion, sixty-eight million, one hundred nineteen thousand, one hundred thirty-six".