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1068926976 = 21133131487
BaseRepresentation
bin111111101101101…
…000100000000000
32202111101010011000
4333231220200000
54142121130401
6254022452000
735326505115
oct7755504000
92674333130
101068926976
114a9421727
12259b94000
131405c1490
14a1d7090c
1563c99186
hex3fb68800

1068926976 has 192 divisors, whose sum is σ = 3412281600. Its totient is φ = 328679424.

The previous prime is 1068926953. The next prime is 1068926983. The reversal of 1068926976 is 6796298601.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10689269762 = 2285209760041009152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718105 + ... + 719591.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 21068926976 is an apocalyptic number.

1068926976 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 1068926976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706140800).

1068926976 is an abundant number, since it is smaller than the sum of its proper divisors (2343354624).

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

1068926976 is a wasteful number, since it uses less digits than its factorization.

1068926976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The square root of 1068926976 is about 32694.4487031055. The cubic root of 1068926976 is about 1022.4671074998.

The spelling of 1068926976 in words is "one billion, sixty-eight million, nine hundred twenty-six thousand, nine hundred seventy-six".