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1068007337 = 17619971033
BaseRepresentation
bin111111101010000…
…111111110101001
32202102122101122022
4333222013332221
54141402213322
6253551034225
735315625005
oct7752077651
92672571568
101068007337
114a89537a1
1225980b975
1314035ba07
14a1bb1705
1563b66942
hex3fa87fa9

1068007337 has 16 divisors (see below), whose sum is σ = 1151636112. Its totient is φ = 986757120.

The previous prime is 1068007327. The next prime is 1068007361. The reversal of 1068007337 is 7337008601.

It can be written as a sum of positive squares in 8 ways, for example, as 123121216 + 944886121 = 11096^2 + 30739^2 .

It is a cyclic number.

It is not a de Polignac number, because 1068007337 - 212 = 1068003241 is a prime.

It is a super-2 number, since 2×10680073372 = 2281279343771663138, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1068007297 and 1068007306.

It is not an unprimeable number, because it can be changed into a prime (1068007307) 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, 1033373 + ... + 1034405.

It is an arithmetic number, because the mean of its divisors is an integer number (71977257).

Almost surely, 21068007337 is an apocalyptic number.

1068007337 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1068007337 is a deficient number, since it is larger than the sum of its proper divisors (83628775).

1068007337 is a wasteful number, since it uses less digits than its factorization.

1068007337 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108.

The product of its (nonzero) digits is 21168, while the sum is 35.

The square root of 1068007337 is about 32680.3815308206. The cubic root of 1068007337 is about 1022.1738007734.

The spelling of 1068007337 in words is "one billion, sixty-eight million, seven thousand, three hundred thirty-seven".

Divisors: 1 17 61 997 1033 1037 16949 17561 60817 63013 1029901 1033889 1071221 17508317 62823961 1068007337