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1068190656 = 26313232809
BaseRepresentation
bin111111101010110…
…100101111000000
32202102222201002220
4333222310233000
54141424100111
6253555011040
735320320321
oct7752645700
92672881086
101068190656
114a8a694a5
12259899a80
131403c42a0
14a1c1c448
1563ba0e06
hex3fab4bc0

1068190656 has 168 divisors, whose sum is σ = 3185678160. Its totient is φ = 313995264.

The previous prime is 1068190609. The next prime is 1068190657. The reversal of 1068190656 is 6560918601.

It is a happy number.

It is a super-2 number, since 2×10681906562 = 2282062555131420672, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1068190657) 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 23 ways as a sum of consecutive naturals, for example, 1319980 + ... + 1320788.

It is an arithmetic number, because the mean of its divisors is an integer number (18962370).

Almost surely, 21068190656 is an apocalyptic number.

1068190656 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 1068190656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592839080).

1068190656 is an abundant number, since it is smaller than the sum of its proper divisors (2117487504).

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

1068190656 is a wasteful number, since it uses less digits than its factorization.

1068190656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 1068190656 is about 32683.1861359935. The cubic root of 1068190656 is about 1022.2322813825.

The spelling of 1068190656 in words is "one billion, sixty-eight million, one hundred ninety thousand, six hundred fifty-six".