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1006993 = 13711091
BaseRepresentation
bin11110101110110010001
31220011100001
43311312101
5224210433
633330001
711362561
oct3656621
91804301
101006993
11628629
12406901
13293470
141c2da1
1514d57d
hexf5d91

1006993 has 8 divisors (see below), whose sum is σ = 1100736. Its totient is φ = 915600.

The previous prime is 1006991. The next prime is 1007021. The reversal of 1006993 is 3996001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1006993 - 21 = 1006991 is a prime.

1006993 is a modest number, since divided by 6993 gives 1 as remainder.

1006993 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (1006991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 378 + ... + 1468.

It is an arithmetic number, because the mean of its divisors is an integer number (137592).

21006993 is an apocalyptic number.

1006993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1006993 is a deficient number, since it is larger than the sum of its proper divisors (93743).

1006993 is a wasteful number, since it uses less digits than its factorization.

1006993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175.

The product of its (nonzero) digits is 1458, while the sum is 28.

The square root of 1006993 is about 1003.4904085242. The cubic root of 1006993 is about 100.2325587450.

The spelling of 1006993 in words is "one million, six thousand, nine hundred ninety-three".

Divisors: 1 13 71 923 1091 14183 77461 1006993