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1068209040 = 24354450871
BaseRepresentation
bin111111101010111…
…001001110010000
32202110000122022210
4333222321032100
54141430142130
6253555232120
735320425033
oct7752711620
92673018283
101068209040
114a8a81298
122598a8640
131403cc772
14a1c2501a
1563ba65b0
hex3fab9390

1068209040 has 40 divisors (see below), whose sum is σ = 3311448768. Its totient is φ = 284855680.

The previous prime is 1068209017. The next prime is 1068209041. The reversal of 1068209040 is 409028601.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×10682090402 = 2282141106275443200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1068208989 and 1068209007.

It is not an unprimeable number, because it can be changed into a prime (1068209041) 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, 2225196 + ... + 2225675.

Almost surely, 21068209040 is an apocalyptic number.

1068209040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1068209040 is an abundant number, since it is smaller than the sum of its proper divisors (2243239728).

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

1068209040 is a wasteful number, since it uses less digits than its factorization.

1068209040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4450887 (or 4450881 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 1068209040 is about 32683.4673803132. The cubic root of 1068209040 is about 1022.2381456947.

The spelling of 1068209040 in words is "one billion, sixty-eight million, two hundred nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 4450871 8901742 13352613 17803484 22254355 26705226 35606968 44508710 53410452 66763065 71213936 89017420 106820904 133526130 178034840 213641808 267052260 356069680 534104520 1068209040