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1068033984 = 26350311059
BaseRepresentation
bin111111101010001…
…110011111000000
32202102200202012020
4333222032133000
54141404041414
6253551401440
735316065463
oct7752163700
92672622166
101068033984
114a8971816
12259823280
1314036ab94
14a1bbb2da
1563b6e7a9
hex3fa8e7c0

1068033984 has 56 divisors (see below), whose sum is σ = 2831713920. Its totient is φ = 355271424.

The previous prime is 1068033983. The next prime is 1068034001. The reversal of 1068033984 is 4893308601.

It is a happy number.

1068033984 is nontrivially palindromic in base 5.

It is a super-2 number, since 2×10680339842 = 2281393181957824512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068033983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91047 + ... + 102105.

It is an arithmetic number, because the mean of its divisors is an integer number (50566320).

Almost surely, 21068033984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1068033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415856960).

1068033984 is an abundant number, since it is smaller than the sum of its proper divisors (1763679936).

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

1068033984 is a wasteful number, since it uses less digits than its factorization.

1068033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11577 (or 11567 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1068033984 is about 32680.7892193564. The cubic root of 1068033984 is about 1022.1823018507.

The spelling of 1068033984 in words is "one billion, sixty-eight million, thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 503 1006 1509 2012 3018 4024 6036 8048 11059 12072 16096 22118 24144 32192 33177 44236 48288 66354 88472 96576 132708 176944 265416 353888 530832 707776 1061664 2123328 5562677 11125354 16688031 22250708 33376062 44501416 66752124 89002832 133504248 178005664 267008496 356011328 534016992 1068033984