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1067984112 = 243136532621
BaseRepresentation
bin111111101010000…
…010010011110000
32202102121012210010
4333222002103300
54141400442422
6253550334520
735315500206
oct7752022360
92672535703
101067984112
114a89382a8
122597ba440
13140351280
14a1ba7076
1563b5eb0c
hex3fa824f0

1067984112 has 80 divisors (see below), whose sum is σ = 2976871968. Its totient is φ = 327982080.

The previous prime is 1067984111. The next prime is 1067984117. The reversal of 1067984112 is 2114897601.

1067984112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10679841122 = 2281180126968857088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067984111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 406162 + ... + 408782.

Almost surely, 21067984112 is an apocalyptic number.

1067984112 is a gapful number since it is divisible by the number (12) 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 1067984112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488435984).

1067984112 is an abundant number, since it is smaller than the sum of its proper divisors (1908887856).

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

1067984112 is a wasteful number, since it uses less digits than its factorization.

1067984112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 1067984112 is about 32680.0261933800. The cubic root of 1067984112 is about 1022.1663912866.

The spelling of 1067984112 in words is "one billion, sixty-seven million, nine hundred eighty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 653 1306 1959 2612 2621 3918 5224 5242 7836 7863 8489 10448 10484 15672 15726 16978 20968 25467 31344 31452 33956 34073 41936 50934 62904 67912 68146 101868 102219 125808 135824 136292 203736 204438 272584 407472 408876 545168 817752 1635504 1711513 3423026 5134539 6846052 10269078 13692104 20538156 22249669 27384208 41076312 44499338 66749007 82152624 88998676 133498014 177997352 266996028 355994704 533992056 1067984112