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968001335 = 57171626893
BaseRepresentation
bin111001101100101…
…000011100110111
32111110110120012022
4321230220130313
53440302020320
6240015343355
732662606220
oct7154503467
92443416168
10968001335
11457458804
12230221b5b
13125715572
14927bc247
1559eb0325
hex39b28737

968001335 has 16 divisors (see below), whose sum is σ = 1405636416. Its totient is φ = 624726528.

The previous prime is 968001283. The next prime is 968001373. The reversal of 968001335 is 533100869.

It is a cyclic number.

It is not a de Polignac number, because 968001335 - 210 = 968000311 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 968001295 and 968001304.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 812852 + ... + 814041.

It is an arithmetic number, because the mean of its divisors is an integer number (87852276).

Almost surely, 2968001335 is an apocalyptic number.

968001335 is a deficient number, since it is larger than the sum of its proper divisors (437635081).

968001335 is a wasteful number, since it uses less digits than its factorization.

968001335 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1626922.

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 968001335 is about 31112.7198264633. The cubic root of 968001335 is about 989.2179434034.

The spelling of 968001335 in words is "nine hundred sixty-eight million, one thousand, three hundred thirty-five".

Divisors: 1 5 7 17 35 85 119 595 1626893 8134465 11388251 27657181 56941255 138285905 193600267 968001335