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1006670729 = 3783327799
BaseRepresentation
bin111100000000001…
…001001110001001
32121011020011122002
4330000021032021
54030201430404
6243520240345
733642363041
oct7400111611
92534204562
101006670729
1147726a689
122411700b5
1313073456c
14979a6721
155d59cc1e
hex3c009389

1006670729 has 8 divisors (see below), whose sum is σ = 1046337600. Its totient is φ = 967659696.

The previous prime is 1006670701. The next prime is 1006670741. The reversal of 1006670729 is 9270766001.

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 1006670729 - 220 = 1005622153 is a prime.

It is a super-3 number, since 3×10066707293 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006670692 and 1006670701.

It is not an unprimeable number, because it can be changed into a prime (1006670789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160829 + ... + 166970.

It is an arithmetic number, because the mean of its divisors is an integer number (130792200).

Almost surely, 21006670729 is an apocalyptic number.

It is an amenable number.

1006670729 is a deficient number, since it is larger than the sum of its proper divisors (39666871).

1006670729 is an equidigital number, since it uses as much as digits as its factorization.

1006670729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327919.

The product of its (nonzero) digits is 31752, while the sum is 38.

The square root of 1006670729 is about 31728.0747761348. The cubic root of 1006670729 is about 1002.2186502839.

The spelling of 1006670729 in words is "one billion, six million, six hundred seventy thousand, seven hundred twenty-nine".

Divisors: 1 37 83 3071 327799 12128563 27207317 1006670729