Search a number
-
+
1006683769 = 71346323893
BaseRepresentation
bin111100000000001…
…100011001111001
32121011020211112001
4330000030121321
54030202340034
6243520421001
733642446050
oct7400143171
92534224461
101006683769
11477279463
12241177761
1313073a490
14979ab397
155d5a1a14
hex3c00c679

1006683769 has 16 divisors (see below), whose sum is σ = 1241723392. Its totient is φ = 794743488.

The previous prime is 1006683767. The next prime is 1006683817. The reversal of 1006683769 is 9673866001.

It is not a de Polignac number, because 1006683769 - 21 = 1006683767 is a prime.

It is a super-3 number, since 3×10066837693 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1006683761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30187 + ... + 54079.

It is an arithmetic number, because the mean of its divisors is an integer number (77607712).

Almost surely, 21006683769 is an apocalyptic number.

It is an amenable number.

1006683769 is a deficient number, since it is larger than the sum of its proper divisors (235039623).

1006683769 is a wasteful number, since it uses less digits than its factorization.

1006683769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24376.

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 1006683769 is about 31728.2802717071. The cubic root of 1006683769 is about 1002.2229777084. Note that the first 3 decimals are identical.

The spelling of 1006683769 in words is "one billion, six million, six hundred eighty-three thousand, seven hundred sixty-nine".

Divisors: 1 7 13 91 463 3241 6019 23893 42133 167251 310609 2174263 11062459 77437213 143811967 1006683769